Position Vector

In these lessons, we will learn what a position vector is and how to find a position vector for a vector between two points.

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Equal Vectors
Vector Multiplication
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What Is A Position Vector?

A vector that starts from the origin (O) is called a position vector.

In the following diagram, point A has the position vector a and point B has the position vector b.

position vectors on the coordinate plane

position vector examples

Tutorial On Vectors

What are 2-dimensional Vectors, 3-dimensional Vectors, Displacement Vectors and Position Vectors?

How To Find The Position Vector?

P is the point (3, 4). \(\overrightarrow {PQ} = \left( {\begin{array}{*{20}{c}}{ - 6}\\3\end{array}} \right)\).
Find the position vector of Q.

Vectors In R2 And R3

Position Vector and Magnitude / Length.
How to find a position vector for a vector between two points and also find the length of the vector?

a) Find the position vector v for a vector that starts at Q(3, 7) and ends at P(-4, 2)
b) Find the length of the vector found in part a)

How To Find The Position Vector Between Two Points?

Find the position vector between the point A(3, 2) and the point B(-2, 1)

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