Chapter 8.7, Problem 5CYU

To determine

To draw:

Sum of given vector $\left(\stackrel{\rightharpoonup }{c}+\stackrel{\rightharpoonup }{d}\right)$ .

Explanation of Solution

Given information:

Vector:

  

Graph:

Translated diagram:

  

Resultant diagram:

  

Interpretation:

To find the sum of given vector $\left(\stackrel{\rightharpoonup }{c}+\stackrel{\rightharpoonup }{d}\right)$ .

First translate $\stackrel{\rightharpoonup }{d}$ so that tail of $\stackrel{\rightharpoonup }{d}$ touches the tip of $\stackrel{\rightharpoonup }{c}$ . Then draw the resultant vector $\stackrel{\rightharpoonup }{c}+\stackrel{\rightharpoonup }{d}$ from the tail of $\stackrel{\rightharpoonup }{c}$ to the tail of $\stackrel{\rightharpoonup }{d}$ .

Translated vector diagram is as above.

Resultant vector $\left(\stackrel{\rightharpoonup }{c}+\stackrel{\rightharpoonup }{d}\right)$ from the tail of $\stackrel{\rightharpoonup }{c}$ to the tip of $\stackrel{\rightharpoonup }{d}$ is given as above.