{"user":{"current":null,"cookieConsentApplicable":false,"showCookieConsentBanner":false,"streakDays":null},"adminSchedule":{"selectedTimeslotSchedules":[]},"auth":{"jwtPayload":null,"firebaseAuthenticated":false},"avatar":{"avatarFields":{"avatarUrl":"","avatarPng":"","childAvatar":false},"avatarError":false,"downloadUrl":"","avatarPng":""},"subscription":{"subscriptionSuccessRedirectUrl":"","subscriptionProduct":{},"currentSubscriptionPriceId":"","currentSubscriptionId":"","allowTrial":false,"isGa4Logged":false,"isSubscriptionApplicable":false,"showSubscriptionPackages":false,"subscriptionPackageType":"individual","subscriptionIntervalType":"year"},"bootcampActivity":{"correctConsecutiveAnswers":0,"currActivityType":1,"currDifficultyLevel":1,"currRewardLevel":1,"answerState":null,"didUpdateEvent":false,"events":[],"currentRound":0,"shouldDisableUserInteraction":false,"shouldGetEnergyOrbs":false,"shouldGetActivityHint":false,"shouldAutoValidateAnswer":false,"collectedRewards":0,"kudos":0,"isRewardFeedbackScreenOpen":false,"shouldResetInput":false},"bootcampPage":{"activities":[],"chest":{},"content":[],"help":{"encyclopediaPath":"","drillPath":""},"isCompleted":false,"sectionName":"","usefulWords":[],"isCollapsed":false,"encyclopediaArticle":{"breadcrumbs":[{"_key":"bcedd644-0bec-506b-86c8-f5dfe20c2b99","h1":"GeoGebra","path":"/geogebra"},{"_key":"ada9fd72-ef01-54fe-951d-7d40a82023d7","h1":"Tall og måling","path":"/geogebra/tall-og-maaling"},{"_key":"839a423c-5c3c-55b1-8940-79439b76a243","h1":"Vektorer","path":"/geogebra/tall-og-maaling/vektorer"},{"_key":"cf5c9870-a205-5e8c-a629-be192a067c09","h1":"To dimensjoner","path":"/geogebra/tall-og-maaling/vektorer/to-dimensjoner"},{"_key":"d41b480b-32c6-504b-89c8-10f16a032593","h1":"Hvordan løse vektorlikninger med GeoGebra","path":"/geogebra/tall-og-maaling/vektorer/to-dimensjoner/hvordan-lose-vektorlikninger-med-geogebra"}],"cssUrl":"/7a1a9717-f48e-4849-b987-29a4a5a09f3c-no-4.css","h1":"Hvordan løse vektorlikninger med GeoGebra","htmlContent":{"html":"

Du kan bruke GeoGebra til å løse vektorlikninger. Her kan du velge om du vil bruke likningssett med de ukjente variablene, eller ved å bruke vektorene selv dersom du har koordinatene til dem. For metoden med likningssett, kan du lese her.

GeoGebra-oppskrift 1

Å løse vektorlikning i CAS

1.: Åpne CAS og Grafikkfeltet under $\"GeoGebra$ Vis i $\"GeoGebra$ Menyen.
2.: Skriv inn vektorene som skal inngå i likningen din i CAS. Her er det lurt å definere vektorene med små bokstaver (f.eks. u:=(1,2) og v:=(3,4)). Merk at hvis du bruker store bokstaver istedenfor små bokstaver, så vil GeoGebra lese det som et punkt, ikke som en vektor!
3.: Tast inn Løs(<Likning>) i CAS, der du erstatter <Likning> med likningen din. Bak likningen skriver du variablene som du ønsker å løse.

Eksempel 1

Finn verdien for $k$ og $l$ :

\vec{u} (k + 2) + \vec{v} = \vec{v} (5 + l) - \vec{u}

hvor $\vec{u} = [1, 3]$ og $\vec{v} = [2, 4]$

Bildet under viser løsningen av vektorlikningen man får ved å følge oppskriften over.

"},"image":null,"isRootPath":false,"key":"content/no/software/02 GeoGebra/01 Tall og måling/03 Vektorer/01 To dimensjoner/08VektorLikningGG.tex","language":"no","locale":"no","metaDescription":"Lær hvordan du kan løse vektorlikninger i GeoGebra. Dette kan gjøres ved å bruke likningssett eller vektorene selv.","path":"/geogebra/tall-og-maaling/vektorer/to-dimensjoner/hvordan-lose-vektorlikninger-med-geogebra","previewUrl":"https://images.houseofmath.com/eyJrZXkiOiJvdmVybGVhZi1hc3NldHMvcHJldmlldy8wOHZla3Rvcmxpa25pbmdnZy5wbmciLCJidWNrZXQiOiJob20tZnJvbnRlbmQtYXNzZXRzIiwidmVyc2lvbiI6M30=","sharedLanguageKey":null,"siblings":[{"h1":"Hvordan lage vektor i GeoGebra","path":"/geogebra/tall-og-maaling/vektorer/to-dimensjoner/hvordan-lage-vektor-i-geogebra"},{"h1":"Hvordan tegne posisjonsvektor i GeoGebra","path":"/geogebra/tall-og-maaling/vektorer/to-dimensjoner/hvordan-tegne-posisjonsvektor-i-geogebra"},{"h1":"Illustrasjon av vektorsum og -differanse i GeoGebra","path":"/geogebra/tall-og-maaling/vektorer/to-dimensjoner/illustrasjon-av-vektorsum-og-differanse-i-geogebra"},{"h1":"Hvordan teste om vektorer er parallelle med GeoGebra","path":"/geogebra/tall-og-maaling/vektorer/to-dimensjoner/hvordan-teste-om-vektorer-er-parallelle-med-geogebra"},{"h1":"Hvordan tegne vektor med en bestemt lengde i GeoGebra","path":"/geogebra/tall-og-maaling/vektorer/to-dimensjoner/hvordan-tegne-vektor-med-en-bestemt-lengde-i-geogebra"},{"h1":"Hvordan regne ut skalarprodukt og vinkler i GeoGebra","path":"/geogebra/tall-og-maaling/vektorer/to-dimensjoner/hvordan-regne-ut-skalarprodukt-og-vinkler-i-geogebra"},{"h1":"Hvordan skrive parameterframstilling i GeoGebra","path":"/geogebra/tall-og-maaling/vektorer/to-dimensjoner/hvordan-skrive-parameterframstilling-i-geogebra"},{"h1":"Hvordan løse vektorlikninger med GeoGebra","path":"/geogebra/tall-og-maaling/vektorer/to-dimensjoner/hvordan-lose-vektorlikninger-med-geogebra"},{"h1":"Hvordan skrive vektorfunksjon i GeoGebra","path":"/geogebra/tall-og-maaling/vektorer/to-dimensjoner/hvordan-skrive-vektorfunksjon-i-geogebra"}],"taskReference":null,"title":"Hvordan løse vektorlikninger med GeoGebra","type":"geogebra"},"levelIds":["geogebra#1#27#definition"]},"bootcampVideo":{"progressPercentage":0,"videoLength":1,"isPlaying":false,"hasEnded":false,"isReset":false},"vcc":{"moduleCount":1,"title":"GeoGebra","subjectName":"Geogebra","complexityLevel":1,"whyShortTitle":"","hasWhyLevel":false,"totalModules":1,"totalLevels":0,"levelsPageData":[{"hasEncyclopedia":true,"level":"1","regular":false,"shortTitle":"Oversikt over GeoGebra-felter"},{"hasEncyclopedia":true,"level":"2","regular":false,"shortTitle":"Oversikt over regneartene i GeoGebra"},{"hasEncyclopedia":true,"level":"3","regular":false,"shortTitle":"Hurtigtaster og innstillinger i GeoGebra"},{"hasEncyclopedia":true,"level":"4","regular":false,"shortTitle":"Hva er CAS i GeoGebra?"},{"hasEncyclopedia":true,"level":"5","regular":false,"shortTitle":"Hvordan bruke regneark i GeoGebra"},{"hasEncyclopedia":true,"level":"6","regular":false,"shortTitle":"Hvordan levere GeoGebra på eksamen"},{"hasEncyclopedia":true,"level":"7","regular":false,"shortTitle":"Hvordan regne ut følger med GeoGebra"},{"hasEncyclopedia":true,"level":"8","regular":false,"shortTitle":"Hvordan bruke summetegnet i GeoGebra"},{"hasEncyclopedia":true,"level":"9","regular":false,"shortTitle":"Hvordan finne primtall med GeoGebra"},{"hasEncyclopedia":true,"level":"10","regular":false,"shortTitle":"Hvordan skrive standardform i GeoGebra"},{"hasEncyclopedia":true,"level":"11","regular":false,"shortTitle":"Hvordan regne ut prosent og vekstfaktor med GeoGebra"},{"hasEncyclopedia":true,"level":"12","regular":false,"shortTitle":"Hvordan bruke prefikser i GeoGebra"},{"hasEncyclopedia":true,"level":"13","regular":false,"shortTitle":"Hvordan bruke GeoGebra til lønnsberegninger"},{"hasEncyclopedia":true,"level":"14","regular":false,"shortTitle":"Hvordan bruke GeoGebra til budsjett og regnskap"},{"hasEncyclopedia":true,"level":"15","regular":false,"shortTitle":"Inntekt, kostnad, enhetskostnad og overskudd i GeoGebra"},{"hasEncyclopedia":true,"level":"16","regular":false,"shortTitle":"Hvordan regne på inntekt og etterspørsel med GeoGebra"},{"hasEncyclopedia":true,"level":"17","regular":false,"shortTitle":"Hvordan regne ut grenseinntekt med GeoGebra"},{"hasEncyclopedia":true,"level":"18","regular":false,"shortTitle":"Finn kostnadsoptimal produksjonsmengde med GeoGebra"},{"hasEncyclopedia":true,"level":"19","regular":false,"shortTitle":"Finn vinningsoptimal produksjonsmengde med GeoGebra"},{"hasEncyclopedia":true,"level":"20","regular":false,"shortTitle":"Hvordan lage vektor i GeoGebra"},{"hasEncyclopedia":true,"level":"21","regular":false,"shortTitle":"Hvordan tegne posisjonsvektor i GeoGebra"},{"hasEncyclopedia":true,"level":"22","regular":false,"shortTitle":"Illustrasjon av vektorsum og -differanse i GeoGebra"},{"hasEncyclopedia":true,"level":"23","regular":false,"shortTitle":"Hvordan teste om vektorer er parallelle med GeoGebra"},{"hasEncyclopedia":true,"level":"24","regular":false,"shortTitle":"Hvordan tegne vektor med en bestemt lengde i GeoGebra"},{"hasEncyclopedia":true,"level":"25","regular":false,"shortTitle":"Hvordan regne ut skalarprodukt og vinkler i GeoGebra"},{"hasEncyclopedia":true,"level":"26","regular":false,"shortTitle":"Hvordan skrive parameterframstilling i GeoGebra"},{"hasEncyclopedia":true,"level":"27","regular":false,"shortTitle":"Hvordan løse vektorlikninger med GeoGebra"},{"hasEncyclopedia":true,"level":"28","regular":false,"shortTitle":"Hvordan skrive vektorfunksjon i GeoGebra"},{"hasEncyclopedia":true,"level":"29","regular":false,"shortTitle":"Hvordan finne vektorprodukt i GeoGebra"},{"hasEncyclopedia":true,"level":"30","regular":false,"shortTitle":"Hvordan tegne linjer og plan med GeoGebra"},{"hasEncyclopedia":true,"level":"31","regular":false,"shortTitle":"Hvordan finne vinkelen mellom linjer og plan i GeoGebra"},{"hasEncyclopedia":true,"level":"32","regular":false,"shortTitle":"Hvordan bruke GeoGebra til å regne ut avstand"},{"hasEncyclopedia":true,"level":"33","regular":false,"shortTitle":"Hvordan tegne en kule i GeoGebra"},{"hasEncyclopedia":true,"level":"34","regular":false,"shortTitle":"Hvordan finne skjæringspunkt i GeoGebra"},{"hasEncyclopedia":true,"level":"35","regular":false,"shortTitle":"Hvordan fullføre kvadratet med GeoGebra"},{"hasEncyclopedia":true,"level":"36","regular":false,"shortTitle":"Hvordan løse likninger i GeoGebra"},{"hasEncyclopedia":true,"level":"37","regular":false,"shortTitle":"Hvordan løse likningssett i GeoGebra"},{"hasEncyclopedia":true,"level":"38","regular":false,"shortTitle":"Hvordan løse likningssett med flere ukjente i GeoGebra"},{"hasEncyclopedia":true,"level":"39","regular":false,"shortTitle":"Hvordan løse ulikheter i GeoGebra"},{"hasEncyclopedia":true,"level":"40","regular":false,"shortTitle":"Hvordan regne ut logaritmer med GeoGebra"},{"hasEncyclopedia":true,"level":"41","regular":false,"shortTitle":"Hvordan finne omkrets og areal i GeoGebra"},{"hasEncyclopedia":true,"level":"42","regular":false,"shortTitle":"Hvordan finne geometrisk sted i GeoGebra"},{"hasEncyclopedia":true,"level":"43","regular":false,"shortTitle":"Hvordan sjekke kongruens med GeoGebra"},{"hasEncyclopedia":true,"level":"44","regular":false,"shortTitle":"Hvordan finne omsirkel og omsenter med GeoGebra"},{"hasEncyclopedia":true,"level":"45","regular":false,"shortTitle":"Hvordan finne innsirkel og innsenter med GeoGebra"},{"hasEncyclopedia":true,"level":"46","regular":false,"shortTitle":"Hvordan finne tyngdepunkt og medianer med GeoGebra"},{"hasEncyclopedia":true,"level":"47","regular":false,"shortTitle":"Hvordan finne ortosenter og høyder med GeoGebra"},{"hasEncyclopedia":true,"level":"48","regular":false,"shortTitle":"Hvordan finne Eulerlinjen med GeoGebra"},{"hasEncyclopedia":true,"level":"49","regular":false,"shortTitle":"Hvordan tegne sirkler i GeoGebra"},{"hasEncyclopedia":true,"level":"50","regular":false,"shortTitle":"Hvordan tegne Apollonius' sirkel i GeoGebra"},{"hasEncyclopedia":true,"level":"51","regular":false,"shortTitle":"Hvordan illustrere punktets potens i GeoGebra"},{"hasEncyclopedia":true,"level":"52","regular":false,"shortTitle":"Hvordan tegne ellipser i GeoGebra"},{"hasEncyclopedia":true,"level":"53","regular":false,"shortTitle":"Hvordan parallellforskyve i GeoGebra"},{"hasEncyclopedia":true,"level":"54","regular":false,"shortTitle":"Hvordan konstruere en parallell i GeoGebra"},{"hasEncyclopedia":true,"level":"55","regular":false,"shortTitle":"Konstruere en parallell gjennom et punkt i GeoGebra"},{"hasEncyclopedia":true,"level":"56","regular":false,"shortTitle":"Hvordan speile i GeoGebra"},{"hasEncyclopedia":true,"level":"57","regular":false,"shortTitle":"Hvordan konstruere tangent til sirkel i GeoGebra"},{"hasEncyclopedia":true,"level":"58","regular":false,"shortTitle":"Hvordan lage vinkler i GeoGebra"},{"hasEncyclopedia":true,"level":"59","regular":false,"shortTitle":"Hvordan tegne supplementvinkler i GeoGebra"},{"hasEncyclopedia":true,"level":"60","regular":false,"shortTitle":"Hvordan sjekke om to vinkler er like i GeoGebra"},{"hasEncyclopedia":true,"level":"61","regular":false,"shortTitle":"Tegne periferivinkler og sentralvinkler i GeoGebra"},{"hasEncyclopedia":true,"level":"62","regular":false,"shortTitle":"Hvordan rotere en figur i GeoGebra"},{"hasEncyclopedia":true,"level":"63","regular":false,"shortTitle":"Hvordan lage en normal i GeoGebra"},{"hasEncyclopedia":true,"level":"64","regular":false,"shortTitle":"Hvordan lage en midtnormal i GeoGebra"},{"hasEncyclopedia":true,"level":"65","regular":false,"shortTitle":"Hvordan lage en halveringslinje i GeoGebra"},{"hasEncyclopedia":true,"level":"66","regular":false,"shortTitle":"Hvordan tegne polyedre i GeoGebra"},{"hasEncyclopedia":true,"level":"67","regular":false,"shortTitle":"Hvordan lage et prisme i GeoGebra"},{"hasEncyclopedia":true,"level":"68","regular":false,"shortTitle":"Hvordan tegne en sylinder i GeoGebra"},{"hasEncyclopedia":true,"level":"69","regular":false,"shortTitle":"Hvordan lage en pyramide i GeoGebra"},{"hasEncyclopedia":true,"level":"70","regular":false,"shortTitle":"Hvordan tegne en kjegle i GeoGebra"},{"hasEncyclopedia":true,"level":"71","regular":false,"shortTitle":"Hvordan tegne en kule i GeoGebra"},{"hasEncyclopedia":true,"level":"72","regular":false,"shortTitle":"Hvordan regne ut overflateareal og volum i GeoGebra"},{"hasEncyclopedia":true,"level":"73","regular":false,"shortTitle":"Forstå enhetssirkelen ved hjelp av GeoGebra"},{"hasEncyclopedia":true,"level":"74","regular":false,"shortTitle":"Hvordan regne ut sinus, cosinus og tangens med GeoGebra"},{"hasEncyclopedia":true,"level":"75","regular":false,"shortTitle":"Regne på sinus-, cosinus- og arealsetningen i GeoGebra"},{"hasEncyclopedia":true,"level":"76","regular":false,"shortTitle":"Hvordan løse trigonometriske likninger i CAS i GeoGebra"},{"hasEncyclopedia":true,"level":"77","regular":false,"shortTitle":"Hvordan tegne trigonometriske funksjoner i GeoGebra"},{"hasEncyclopedia":true,"level":"78","regular":false,"shortTitle":"Harmoniske svingninger i GeoGebra"},{"hasEncyclopedia":true,"level":"79","regular":false,"shortTitle":"Hvordan bruke GeoGebra i perspektivtegning"},{"hasEncyclopedia":true,"level":"80","regular":false,"shortTitle":"Hvordan lage en frekvenstabell i GeoGebra"},{"hasEncyclopedia":true,"level":"81","regular":false,"shortTitle":"Hvordan lage et søylediagram i GeoGebra"},{"hasEncyclopedia":true,"level":"82","regular":false,"shortTitle":"Hvordan lage et sektordiagram i GeoGebra"},{"hasEncyclopedia":true,"level":"83","regular":false,"shortTitle":"Hvordan lage et linjediagram i GeoGebra"},{"hasEncyclopedia":true,"level":"84","regular":false,"shortTitle":"Hvordan lage et boksplott i GeoGebra"},{"hasEncyclopedia":true,"level":"85","regular":false,"shortTitle":"Hvordan lage et histogram i GeoGebra"},{"hasEncyclopedia":true,"level":"86","regular":false,"shortTitle":"Hvordan regne ut sentralmål med GeoGebra"},{"hasEncyclopedia":true,"level":"87","regular":false,"shortTitle":"Hvordan teste de store talls lov i GeoGebra"},{"hasEncyclopedia":true,"level":"88","regular":false,"shortTitle":"Hvordan regne på kombinatorikk i GeoGebra"},{"hasEncyclopedia":true,"level":"89","regular":false,"shortTitle":"Hvordan regne ut binomisk fordeling i GeoGebra"},{"hasEncyclopedia":true,"level":"90","regular":false,"shortTitle":"Hvordan regne ut hypergeometrisk fordeling i GeoGebra"},{"hasEncyclopedia":true,"level":"91","regular":false,"shortTitle":"Hvordan regne ut normalfordeling i GeoGebra"},{"hasEncyclopedia":true,"level":"92","regular":false,"shortTitle":"Hypotesetesting for binomisk fordeling i GeoGebra"},{"hasEncyclopedia":true,"level":"93","regular":false,"shortTitle":"Hypotesetesting for normalfordeling i GeoGebra"},{"hasEncyclopedia":true,"level":"94","regular":false,"shortTitle":"Hvordan lage en funksjon i GeoGebra"},{"hasEncyclopedia":true,"level":"95","regular":false,"shortTitle":"Hvordan finne definisjonsmengde og verdimengde i GeoGebra"},{"hasEncyclopedia":true,"level":"96","regular":false,"shortTitle":"Hvordan finne skjæring med koordinataksene i GeoGebra"},{"hasEncyclopedia":true,"level":"97","regular":false,"shortTitle":"Hvordan finne skjæring mellom grafer i GeoGebra"},{"hasEncyclopedia":true,"level":"98","regular":false,"shortTitle":"Hvordan finne nullpunkter til en funksjon i GeoGebra"},{"hasEncyclopedia":true,"level":"99","regular":false,"shortTitle":"Finne asymptoter til rasjonale funksjoner med GeoGebra"},{"hasEncyclopedia":true,"level":"100","regular":false,"shortTitle":"Finne tangenter til grafen til en funksjon med GeoGebra"},{"hasEncyclopedia":true,"level":"101","regular":false,"shortTitle":"Finne tilnærming av momentan vekstfart med GeoGebra"},{"hasEncyclopedia":true,"level":"102","regular":false,"shortTitle":"Hvordan finne grenseverdier for funksjoner med GeoGebra"},{"hasEncyclopedia":true,"level":"103","regular":false,"shortTitle":"Hvordan derivere i GeoGebra"},{"hasEncyclopedia":true,"level":"104","regular":false,"shortTitle":"Hvordan finne stasjonære punkter med GeoGebra"},{"hasEncyclopedia":true,"level":"105","regular":false,"shortTitle":"Hvordan finne vendepunkter med GeoGebra"},{"hasEncyclopedia":true,"level":"106","regular":false,"shortTitle":"Hvordan regne ut integraler med GeoGebra"},{"hasEncyclopedia":true,"level":"107","regular":false,"shortTitle":"Hvordan finne arealet under en graf i GeoGebra"},{"hasEncyclopedia":true,"level":"108","regular":false,"shortTitle":"Hvordan finne arealet mellom grafer i GeoGebra"},{"hasEncyclopedia":true,"level":"109","regular":false,"shortTitle":"Hvordan finne volum av omdreiningslegeme i GeoGebra"},{"hasEncyclopedia":true,"level":"110","regular":false,"shortTitle":"Integralkurve, kurveskare og retningsdiagram i GeoGebra"},{"hasEncyclopedia":true,"level":"111","regular":false,"shortTitle":"Hvordan løse differensiallikninger med GeoGebra"},{"hasEncyclopedia":true,"level":"112","regular":false,"shortTitle":"Hvordan bruke regresjon og regneark i GeoGebra"},{"hasEncyclopedia":true,"level":"113","regular":false,"shortTitle":"Hvordan bruke GeoGebra til lineær optimering"}],"levelActivities":{"1":0,"2":0,"3":0,"4":0,"5":0,"6":0,"7":0,"8":0,"9":0,"10":0,"11":0,"12":0,"13":0,"14":0,"15":0,"16":0,"17":0,"18":0,"19":0,"20":0,"21":0,"22":0,"23":0,"24":0,"25":0,"26":0,"27":0,"28":0,"29":0,"30":0,"31":0,"32":0,"33":0,"34":0,"35":0,"36":0,"37":0,"38":0,"39":0,"40":0,"41":0,"42":0,"43":0,"44":0,"45":0,"46":0,"47":0,"48":0,"49":0,"50":0,"51":0,"52":0,"53":0,"54":0,"55":0,"56":0,"57":0,"58":0,"59":0,"60":0,"61":0,"62":0,"63":0,"64":0,"65":0,"66":0,"67":0,"68":0,"69":0,"70":0,"71":0,"72":0,"73":0,"74":0,"75":0,"76":0,"77":0,"78":0,"79":0,"80":0,"81":0,"82":0,"83":0,"84":0,"85":0,"86":0,"87":0,"88":0,"89":0,"90":0,"91":0,"92":0,"93":0,"94":0,"95":0,"96":0,"97":0,"98":0,"99":0,"100":0,"101":0,"102":0,"103":0,"104":0,"105":0,"106":0,"107":0,"108":0,"109":0,"110":0,"111":0,"112":0,"113":0},"badgeImage":{"alt":"","srcKey":""},"badgeOutlineImage":{"alt":"","srcKey":""},"color":{"gradientClass":"bg-task-numbers-gradient","bgClass":"bg-orchid-dark","secondaryBgClass":"bg-orchid-dark","checkedBgClass":"checked:bg-orchid-dark","textClass":"text-orchid-dark","hex":"#A840C8","borderClass":"border-orchid-dark","outlineClass":"outline-numbers","ringClass":"ring-orchid-dark","shadowBorderClass":"border-violet-darker","shadowClass":"shadow-task-purple"}},"bootcampQuiz":{"bootcampKey":null,"subtopic":null,"startTime":null,"totalQuestions":0,"completedQuestions":0,"wrongAnswer":0,"bossHealth":100,"damagePlayer":false,"maxWrongAnswer":0,"questions":[],"mathEnergyEarned":0,"badgeImage":{"alt":"Special Trophy","srcKey":"bootcamp/bootcamp_module_list_trophy_logo.png"},"bossBattleEnemy":{"avatarGLBFilePath":"","avatarImagePath":{"alt":"","srcKey":""},"dragonId":0},"hasStartedQuiz":false,"bossCurrentBehavior":null,"bossIsBusy":false,"bossDamageAmount":0,"bossResponse":{"state":"ready","anim":null},"bossSound":"unmute"},"cart":{"tutorForOther":[{"levelsOfEducation":["grade-11-to-13"],"product":null,"subjects":["math"],"includeTravelExpense":false,"location":"online","email":"","emailVerify":"","firstName":"","lastName":"","uuid":"88aac1b3-01d4-4e64-a4f9-1a8180a85f98"}],"tutorForSelf":{"levelsOfEducation":["grade-11-to-13"],"product":null,"subjects":["math"],"includeTravelExpense":false,"location":"online"},"videoChat":{"levelsOfEducation":["grade-11-to-13"],"product":null,"subjects":["math"],"dateAsTimestamp":null,"needHelpWith":"","scheduleAt":null},"bookingForSelfFormErrors":{}},"chat":{"isChatOpen":false,"openThreadId":null,"prevThreadId":null,"threadPos":null,"newMessage":"","transitionDidFinish":true,"showChatInfoBox":true,"chatNotification":false,"lastMessage":"","lastMessageSentAt":null},"chatAi":{"isLoading":false,"stopMessage":false,"isShowingChatInitialModal":false,"isChatAiOpen":false,"isHintMessage":false,"chatAiConsent":false,"threadMessages":[],"currentMessage":{},"modalPosition":{"x":150,"y":205,"width":930,"height":550,"minWidth":420,"minHeight":350,"disableDragging":false,"disableResizing":false,"padding":72,"messageWidth":730,"windowWidth":0,"windowHeight":0,"isInitialized":false},"errorMessageType":null,"threadId":"e0efaf04-7fc1-4204-bdc9-0b17bf55aad3","imageModal":{"isImageModalOpen":false,"image":""}},"checkout":{},"dashboard":{"isTabToggled":true,"scrollToQuest":false,"highlightedItem":null,"isNavigateToLearningPath":false,"chestAnimation":false,"tutorial":{"product":"","tutorialStep":0,"shouldShowTutorial":false,"shouldShowLearningPathTutorial":false},"openChecklist":false,"selectedGrade":"","subjectOrder":"","achievementPagePreviousUrl":"/dashboard","stepTwoExpanded":[],"streakUpdatedAt":null,"showReferralPopup":true},"dropdownMenu":{"menuToClose":null,"menuToOpen":null},"employee":{"fields":{"employees":[],"categories":[]},"errors":{"employees":"","categories":""},"backendError":""},"gamification":{"notification":false,"isNotificationListOpen":false,"gems":0,"rewardsCount":{"initial":0,"collected":0,"available":0},"nextBootcampPage":{"currentActivityType":0},"hasFetchedEvents":false,"hasLeveledUp":false,"hasLoggedOut":false,"fromRetakeQuiz":false,"showHomebaseClosingX":true,"showShopButton":true,"isQuizFinished":false,"hasShownLeaderboardModal":false},"gemShop":{"isShowingGemShop":false,"didPurchase":false,"isLocked":false},"homebase":{"homebaseIsOpen":false,"scrollToBase":false,"isBadgeReady":false,"showingBadgeCollection":false},"familyAccount":{"isMemberSubscriptionRequired":false,"isFamilyAdminAuthenticated":false,"addedProfile":false,"isLinkingAccount":false},"login":{"fields":{"email":"","password":""},"errors":{"email":"","password":""},"backendError":"","loginScenario":"default","simpleUserProfile":{},"view":"default"},"recaptcha":{"captcha":{"challenge":"","answer":""},"authType":null},"homebaseQuiz":{"quizState":[],"advancedSubjects":{"articles":[],"question":""},"quizView":"INITIAL","completedQuizes":0},"mathVault":{"currentScreen":"activity","answerState":"pending","levelsSummary":{},"currentQuestionSummary":{"livesLeft":2,"questionNo":null,"numberOfTries":-1,"numberOfFailures":-1,"firstPassOnTryNo":-1,"passed":false},"selectedAnswer":null,"currentLocation":{"room":"OUTSIDE_VAULT","chest":null},"kudosEarned":0,"answerBeforeLogIn":{"metadata":null,"nextActivityPath":null},"server":{"activity":{"_id":"","metadata":{"language":"en","chest":"","tab":1,"elevator":"","room":"","metaDescription":"","keywords":"","globalId":"","activityNumber":1,"roomColor":"purple","numberOfTabs":6,"numberOfActivities":10,"reference":"","references":[],"title":"","points":0,"tabsActivity":[],"columnLayout":"one-column"},"question":[],"alternatives":[],"shouldShuffle":false}},"loading":false,"streak":-1,"navigations":{"prevLevel":1,"prevActivity":1,"nextLevel":1,"nextActivity":1},"pickedEgg":false,"pickedTempEgg":false},"menu":{"menuIsOpen":false,"menuIsExpanded":false,"hideHorizontalMenu":false,"horizontalMenuHeight":0,"showAllLearningTools":false,"showAllGames":false},"multipleChoiceTest":{"activeQuestion":{"index":0,"didAnswer":false,"didAnswerCorrectly":false,"selectedOption":null},"executeGemstoneAnimation":false,"questionsState":null,"view":"quiz"},"onboarding":{"chosenAccountType":null,"details":{"nickname":"","email":"","birthYear":null,"country":"","wantsNewsletter":false,"skill":null},"errors":{"nickname":"","email":"","birthYear":"","country":"","wantsNewsletter":"","skill":""},"showHomMethods":false,"userRole":"other","currentStepIndex":0,"isPreSignup":false},"petState":{"petState":{"eggState":0,"dragonPresent":false,"eggChosen":null,"tempEggChosen":null,"name":"Mathagon","level":0,"dragonRank":0,"lifeLength":0,"stillHatching":true,"kudosOrbs":0,"totalMathEnergy":0,"totalAffection":0,"currentMathEnergyLevel":0,"currentAffectionLevel":50,"lastTimeStamp":0,"hatchingCooldown":0,"hatchingEnergyCooldown":[0,0,0,0,0],"tricksLearned":[],"currentTrickLearning":null,"currentTrickProgress":0,"trickLearningCooldown":0}},"quest":{"questState":{"questName":"","questRewards":{"kudos":0,"gems":0,"xp":0},"showCompletedQuestModal":false},"isNewQuest":false,"clickedQuest":"","resize":false,"skipingToBoss":false},"order":{},"scheduleSession":{"info":{"location":""},"time":{"startHours":0,"startMinutes":0,"endHours":0,"endMinutes":0}},"search":{"currentQuery":"","historyOfQueries":[],"isModalOpen":false,"hasSearchBar":false},"paywall":{"returnPath":"/dashboard"},"statistics":{"showNicknameOverlay":false,"learningStatsFilter":{"timeFilter":"all-time","productCategoryFilter":"all"},"rewardsStatsFilter":"all-time","productCardTimeFilter":"last-30-days","productCardFilterOptions":[]},"storyCard":{"id":null},"adminSubscription":{"stripeProductId":"","stripePriceId":"","country":"","trialPeriodDays":0,"isDefault":false,"paymentGateways":[]},"theory":{"displayMultipleChoiceTest":false},"ui":{"previewSite":false},"modals":{"showFeedbackModal":false,"showSubscriptionActivityModal":false,"hasPurchaseTutoringPackages":false,"showAndroidAppModal":false,"showFreemiumModal":false},"donation":{"donationDetails":{"donationAmount":0,"donationCurrency":"usd","donationType":"one-time"},"donationDetailsErrors":{"donationAmount":"","donationCurrency":"","donationType":""}},"redirection":{"lockRedirection":false},"userFeedback":{"rating":null,"product":null,"showUserFeedbackModal":false,"comment":""},"linje5":{"monthlyDiscount":{"discount":0,"duration":0},"yearlyDiscount":{"discount":0}},"notificationApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":false,"keepUnusedDataFor":60,"reducerPath":"notificationApi"}},"homApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":5,"keepUnusedDataFor":1,"reducerPath":"homApi"}},"soundControl":{"muted":false,"volume":1},"blogApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":false,"keepUnusedDataFor":60,"reducerPath":"blogApi"}},"tutorOnDemandApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":false,"keepUnusedDataFor":60,"reducerPath":"tutorOnDemandApi"}},"staticPageApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":false,"keepUnusedDataFor":60,"reducerPath":"staticPageApi"}},"activityApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":false,"keepUnusedDataFor":60,"reducerPath":"activityApi"}},"bootcampApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":false,"keepUnusedDataFor":60,"reducerPath":"bootcampApi"}},"craneGameApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":false,"keepUnusedDataFor":60,"reducerPath":"craneGameApi"}},"rewardApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":false,"keepUnusedDataFor":60,"reducerPath":"rewardApi"}},"dragonApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":false,"keepUnusedDataFor":60,"reducerPath":"dragonApi"}},"gemShopApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":false,"keepUnusedDataFor":60,"reducerPath":"gemShopApi"}},"usersCountApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":false,"keepUnusedDataFor":60,"reducerPath":"usersCountApi"}},"mathVaultActivityApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":false,"keepUnusedDataFor":60,"reducerPath":"mathVaultActivityApi"}},"mediaApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":false,"keepUnusedDataFor":60,"reducerPath":"mediaApi"}},"adminApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":true,"keepUnusedDataFor":1,"reducerPath":"adminApi"}},"multipleChoiceTestApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":false,"keepUnusedDataFor":60,"reducerPath":"multipleChoiceTestApi"}},"questApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":false,"keepUnusedDataFor":60,"reducerPath":"questApi"}},"studytipsApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":false,"keepUnusedDataFor":60,"reducerPath":"studytipsApi"}},"settings":{"errors":{},"fields":{"email":"","nickname":"","country":"","curriculum":"","birthYear":"","wantsNewsletter":false,"userType":"","skill":"","yearsInSchool":"","gradeLevelId":"","currPassword":"","newPassword":"","newPasswordConfirm":"","phone":""},"serverError":null,"isServerErrorInNicknameTab":null,"tab":null},"collectionApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":false,"keepUnusedDataFor":60,"reducerPath":"collectionApi"}},"curriculumUserStatApi":{"queries":{},"mutations":{},"provided":{},"subscriptions":{},"config":{"online":true,"focused":true,"middlewareRegistered":true,"refetchOnFocus":false,"refetchOnReconnect":false,"refetchOnMountOrArgChange":false,"keepUnusedDataFor":60,"reducerPath":"curriculumUserStatApi"}},"checklist":{"rewardFeature":null,"featureImage":null},"mindOverlay":{"showMindDetailsOverlay":false},"curriculum":{"gradeListByCountry":[],"gradeContent":{"gradeLevel":0,"gradeLabel":"","title":"","isJuniorMathGrade":false,"hasSubdivision":false,"gradeSubdivisions":[]},"curriculumSubjectContent":{"topicId":"algebra","subjectLabel":"","subjectOrder":0,"subjectOrderLabel":"","subjectUrl":"","isFirstVisit":false,"competencyGoals":[]},"lastActivity":{"curriculumLevelId":"","quarterNo":0,"gradeLevel":0},"curriculumChangeLoading":false,"curriculumMappingQuizQuestion":{"questionId":"","quizId":"","slug":"","title":"","description":[],"isLastQuestion":false,"isQuizComplete":false},"shouldResetCurriculumMappingQuiz":false,"curriculumMappingQuizCompleted":false,"menuCurriculumDropdownExpanded":false,"gradePageCurriculumDropdownExpanded":false,"curriculumChangeWarning":false,"prerequisiteChestClicked":false,"lastLevelStatusInfo":{"isLastLevel":false,"lastLevelIds":[],"gradeInfo":{"countryCode":"","gradeId":"","gradeLevel":0,"subjectOrder":0,"subject":"","topicId":""}},"shouldShowCertificateModal":false,"curriculumUserCategory":"regular-user","currentCertificate":{"id":0,"curriculumSubject":"","countryCode":"","gradeId":"","gradeLevel":0,"correctness":"","date":"","topicId":"algebra","subjectOrder":0,"updatedAt":""},"selectedSubdivision":{},"isTopicMappingQuizCompleted":false},"persistCurriculum":{"activeCompetencyList":[],"scrollItemId":"","curriculumName":""}}