Chapter 11, Problem 31RE

To determine

To find: The vectors $v+w$ .

Answer to Problem 31RE

The vector is $v+w=2i-2j$ .

Explanation of Solution

Given information:

The given vectors are $v=-2i+j$ and $w=4i-3j$ .

Calculation:

Calculate the vectors,

The sum of two vectors $v$ and $w$ is

  $\begin{array}{c}v+w=\left(a_1+a_2\right)i+\left(b_{{}^1}+b_2\right)j\\ =\left(-2i+j\right)+\left(4i-3j\right)\\ =i\left(-2+4\right)+j\left(1+\left(-3\right)\right)\\ =2i-2j\end{array}$

Therefore, the vector is $v+w=2i-2j$ .