# Find a vector a with representation given by the directed

Find a vector a with representation given by the directed line segment AB. Draw AB and the equivalent representation starting at the origin.
$$\displaystyle{A}{\left(-{2},{I}\right)}$$, $$\displaystyle{B}{\left({l},{2}\right)}$$

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Laura Worden
Given $$\displaystyle{A}{\left(-{1},{1}\right)}$$, $$\displaystyle{B}{\left({3},{2}\right)}$$
Substract the corresponding components of A and B
$$\displaystyle{a}=\vec{{{A}{B}}}={ < }{3}-{\left(-{1}\right)},{2}-{1}\ge{ < }{4},{1}{>}$$
The equivalent representation is a vector from the point $$\displaystyle{\left({0},{0}\right)}$$ to $$\displaystyle{\left({4},{1}\right)}$$