Find a vector a with representation given by the directed

Cheexorgeny 2022-01-04 Answered
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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Expert Answer

Laura Worden
Answered 2022-01-05 Author has 2208 answers
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 \(\displaystyle{\left({4},{1}\right)}\)
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