Chapter 13.4, Problem 21WE

To determine

To find: The vector sum and then illustrate each sum with a diagram.

Answer to Problem 21WE

The vector sum $\left(3,-5\right)+\left(4,5\right)=\left(7,0\right)$ .

Explanation of Solution

Given information: Vectors $\left(3,-5\right)+\left(4,5\right)$ .

Formula used: Vectors can be added by following simple rule $\left(a,b\right)+\left(c,d\right)=\left(a+c,b+d\right)$ .

Calculation:

Vectors $\left(3,-5\right)+\left(4,5\right)$ .

Vectors can be added by following simple rule $\left(a,b\right)+\left(c,d\right)=\left(a+c,b+d\right)$ .

  $\begin{array}{l}\overrightarrow{CA}+\overrightarrow{AB}=\overrightarrow{CB}\\ \left(3,-5\right)+\left(4,5\right)=\left(7,0\right)\end{array}$