Chapter 6.3, Problem 122E

To determine

The difference of the vectors shown in the figure.

Explanation of Solution

Given:

The figure is given as:

  

Referring to the given figure, the it is seen that the initial and final point of the first vector u are:

  $\left(-100,0\right),\left(-20,70\right)$

Therefore, the vector u in the component form is:

  $\begin{array}{l}u=\left(-20+10,70-0\right)\\ =\left(80,70\right)\end{array}$

Similarly, it is seen that the initial and the final points of the vector v are:

  $\left(10,60\right),\left(80,80\right)$

Therefore, the vector v in the component form is:

  $\begin{array}{l}v=\left(80-10,80-60\right)\\ =\left(70,20\right)\end{array}$

The vectors and their difference is shown below: