Chapter 9.1, Problem 18E

To determine

The component form of vector.

Answer to Problem 18E

The component form of vector is $\text{v}=\left\{7,5\right\}$ .

Explanation of Solution

Given :

Initial point:

  $\text{P}\left(\text{-8,-6}\right)$

Terminal point:

  $\text{Q}\left(\text{-1,-1}\right)$

Calculation:

Component form:

  $\text{v}=\{x_2-x_1,y_2-y_1\}$

So,

The desired vector:

  $\begin{array}{l}\text{v}=\{-1-\left(-8\right),-1-\left(-6\right)\}\\ \text{v}=\left\{-1+8,-1+6\right\}\\ \text{v}=\left\{7,5\right\}\end{array}$

The component form of vector is $\text{v}=\left\{7,5\right\}$ .