Chapter 11.2, Problem 16E

a.

To determine

Sketch $\left(a\right)2v$ with the initial point at the origin.

Explanation of Solution

Given information:

  $v=\left(-1,2,2\right)$

  $2v=2\left(-1,2,2\right)=\left(-2,4,4\right)$

  

b.

To determine

Sketch $\left(b\right)-v$ with the initial point at the origin.

Explanation of Solution

Given information:

  $v=\left(-1,2,2\right)$

  $-v=-\left(-1,2,2\right)=\left(1,-2,-2\right)$

  

c.

To determine

Sketch $\left(c\right)\frac{3}{2}v$ with the initial point at the origin.

Explanation of Solution

Given information:

  $v=\left(-1,2,2\right)$

  $\frac{3}{2}v=\frac{3}{2}\left(-1,2,2\right)=\left(-\frac{3}{2},3,3\right)$

  

d.

To determine

Sketch $\left(d\right)-\frac{1}{2}v$ with the initial point at the origin.

Explanation of Solution

Given information:

  $v=\left(-1,2,2\right)$

  $-\frac{1}{2}v=-\frac{1}{2}\left(-1,2,2\right)=\left(\frac{1}{2},-1,-1\right)$