Chapter 8.4, Problem 5MCQ

To determine

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

Answer to Problem 5MCQ

  $\langle -14,8\rangle$

Explanation of Solution

Given information:

  $\begin{array}{l}\overrightarrow{t}=\langle -6,2\rangle \\ \overrightarrow{s}=\langle 4,-3\rangle \end{array}$

The given equation is shown below:

  $\overrightarrow{r}=\overrightarrow{t}-2\overrightarrow{s}$

Calculation:

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

  $\begin{array}{c}\overrightarrow{r}=\overrightarrow{t}-2\overrightarrow{s}\\ =\langle -6,2\rangle -2\langle 4,-3\rangle \left[\text{Put ordered pairs of }\overrightarrow{t}\text{ and }\overrightarrow{s}\right]\\ =\langle -6,2\rangle -\langle 8,-6\rangle \\ =\langle -6-8,2+6\rangle \\ =\langle -14,8\rangle \end{array}$

Thus the ordered pair is $\langle -14,8\rangle$ .