Chapter 8.7, Problem 25PPS

To determine

To draw:

Difference of given vector $\left(\stackrel{\rightharpoonup }{t}-\stackrel{\rightharpoonup }{m}\right)$ .

Explanation of Solution

Given information:

Vector:

  

Graph:

Translated diagram:

  

Resultant diagram:

  

Interpretation:

To find the difference of given vector $\left(\stackrel{\rightharpoonup }{t}-\stackrel{\rightharpoonup }{m}\right)$ .

First translate $\stackrel{\rightharpoonup }{-m}$ so that tail of $\stackrel{\rightharpoonup }{-m}$ touches the tip of $\stackrel{\rightharpoonup }{t}$ . Then draw the resultant vector $\left(\stackrel{\rightharpoonup }{t}-\stackrel{\rightharpoonup }{m}\right)$ from the tail of $\stackrel{\rightharpoonup }{t}$ to the tail of $-\stackrel{\rightharpoonup }{m}$ .

Translated vector diagram is as above.

Resultant vector $\left(\stackrel{\rightharpoonup }{t}-\stackrel{\rightharpoonup }{m}\right)$ from the tail of $\stackrel{\rightharpoonup }{t}$ to the tip of $\stackrel{\rightharpoonup }{-m}$ is given as above.