Chapter 13.4, Problem 24WE

To determine

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

Answer to Problem 24WE

The vector sum $\left(1,4\right)+2\left(3,1\right)=\left(7,6\right)$ .

Explanation of Solution

Given information: Vectors $\left(1,4\right)+2\left(3,1\right)$ .

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 $\left(1,4\right)+2\left(3,1\right)$ .

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

  $\begin{array}{l}\overrightarrow{BA}+\overrightarrow{AC}=\overrightarrow{BC}\\ \left(1,4\right)+2\left(3,1\right)=\left(7,6\right)\end{array}$