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What Does Vector Coordinates Mean?

You can write a vector on vector coordinate form like this: (x,y). The vector coordinates show how the vector moves in the xy-plane.

Theory

Vector coordinate

The vector (x,y) tells you that it moves x steps along the x-axis and y steps along the y-axis.

Example 1

Explain how these vectors move:

(2, 5) , (5, 1) , (78,3) , (0,6) , (48, 0) , (0, 0) .

(2, 5) , (5, 1) , (78,3) , (0,6) , (48, 0) , (0, 0) .

The vector (2, 5)

(2, 5) moves 2 steps in the positive x-direction and 5 steps in the positive y-direction.

The vector (-5, 1)

(5, 1) moves 5 steps in the negative x-direction and 1 step in the positive y-direction.

The vector (-78, -3)

(78,3) moves 78 steps in the negative x-direction and 3 steps in the negative y-direction.

The vector (0, -6)

(0,6) doesn’t move in the x-direction at all, but moves 6 steps in the negative y-direction.

The vector (-48, 0)

(48, 0) moves 48 steps in the negative x-direction, but doesn’t move in the y-direction.

1The vector (0, 0)

(0, 0) moves neither in the x-direction nor the y-direction.

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