Chapter 8.3, Problem 43E

To determine

To find: the sum of the vectors algebraically

Answer to Problem 43E

  $\left(2,7\right)$

Explanation of Solution

Given information:

  $\begin{array}{c}\left(x_1,y_1\right)=\left(3,5\right)\\ \left(x_2,y_2\right)=\left(-1,2\right)\end{array}$ .

Calculation:

The sum of the vectors can be evaluated as follows:

  $\begin{array}{c}\text{Sum of the vectors}=\left(x_1,y_1\right)+\left(x_2,y_2\right)\\ =\left(3,5\right)+\left(-1,2\right)\left[\text{Put }\left(x_1,y_1\right)\text{ and }\left(x_2,y_2\right)\right]\\ =\left(3-1,5+2\right)\\ =\left(2,7\right)\end{array}$

Thus the sum of vector is $\left(2,7\right)$ .