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What Does Position Vector Mean?

A position vector OP begins at the origin and ends at point P


Position Vector

A vector that begins at the origin O = (0, 0) and extends to a point P = (x,y) is called a position vector. It’s written

OP = (x,y).

Every point has a position vector. In this way, you can always rewrite a point as a vector. If the coordinates of the point is P = (x,y), the position vector is OP = (x,y).

Example 1

Find the position vector that belongs to the point P = (13, 12)

By using the formula for the position vector of a point, you get

OP = (13, 12) .

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