Question

Problem 12b

Answer 1

Given information

Given the vectors shown in Fig. 3-35

To determine .

Step-by-step explanation

Step 1.

To get  ,

resolve the  and  components of each vector

get components of the resultant vector using the components of vectors  , and  

use the Pythagorean theorem and the inverse tangent equation to calculate the magnitude and the direction of the resultant vector.

Recall that the  and  components of any given vector  can be calculated as follows.

•  
•  

where $V$ is the magnitude of the vector and  is the angle that the vector makes with the  axis.