Chapter 8.2, Problem 30E

To determine

To find: the ordered pair to represent $\overrightarrow{a}$ in given equation.

Answer to Problem 30E

  $\langle 2,-4\rangle$

Explanation of Solution

Given information:

  $\overrightarrow{c}=\langle -4,8\rangle$

The given equation is shown below:

  $\overrightarrow{a}=-\frac{1}{2}\overrightarrow{c}$

Calculation:

The ordered pair of $\overrightarrow{a}$ can be evaluated as follows:

  $\begin{array}{c}\overrightarrow{a}=-\frac{1}{2}\overrightarrow{c}\\ =-\frac{1}{2}\langle -4,8\rangle \left[\text{Put ordered pairs of }\overrightarrow{c}\right]\\ =\langle 2,-4\rangle \end{array}$

Thus the ordered pair is $\langle 2,-4\rangle$ .