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Q22.

Expert-verifiedFound in: Page 637

Book edition
7th Edition

Author(s)
James Stewart, Lothar Redlin, Saleem Watson

Pages
948 pages

ISBN
9781337067508

**Sketching Vectors Sketch the given vector with initial point (4,3) , and find the terminal point.**

$\mathbf{u}=\u27e8-8,-1\u27e9$.

The terminal point for the vector $\u27e8-8,-1\u27e9$ is $(-4,1)$ and sketch of the given vector is

Given initial point (4,3).

Vector $\u27e8-8,-1\u27e9$

Assume terminal point as $(x,y)$ substitute this in $v=>">x-{x}_{1},y-{y}_{1}$ and rearrange to find terminal point.

Initial point is at $(4,3)$ ,Let

$\left({x}_{1},{y}_{1}\right)=(4,3)$

Vector is $\u27e8-8,-1\u27e9$To find terminal point $(x,y)$

$\begin{array}{l}v=\u2329x-{x}_{1},y-{y}_{1}\u232a\\ \u27e8-8,-1\u27e9=\u27e8x-4,y-3\u27e9\\ x-4=-8\\ x=-8+4\\ x=-4\\ y-2=-1\\ y=-1+2\\ y=1\end{array}$

The terminal point is $(-4,1)$.

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