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### Precalculus Mathematics for Calculus

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.$\mathbf{u}=⟨-8,-1⟩$.

The terminal point for the vector $⟨-8,-1⟩$ is $\left(-4,1\right)$ and sketch of the given vector is

See the step by step solution

## Step 1.Given information.

Given initial point (4,3).

Vector $⟨-8,-1⟩$

## Step 2. Terminal point and sketch the graph

Assume terminal point as $\left(x,y\right)$ substitute this in and rearrange to find terminal point.

Initial point is at $\left(4,3\right)$ ,Let

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

Vector is $⟨-8,-1⟩$To find terminal point $\left(x,y\right)$

$\begin{array}{l}v=〈x-{x}_{1},y-{y}_{1}〉\\ ⟨-8,-1⟩=⟨x-4,y-3⟩\\ x-4=-8\\ x=-8+4\\ x=-4\\ y-2=-1\\ y=-1+2\\ y=1\end{array}$

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