Question

Problem 52b

Answer 1

Given information

Given two vectors,   and   , add to a resultant   .

To describe and if ,

Step-by-step explanation

Step 1.

Recall that any vector can be resolved to its  and  components using the equations below.

 

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

If the components are known, the magnitude of the vector can be derived using the Pythagorean theorem.

 

In addition, the sum of the  components and the sum of the  components of the added vectors are equal to the  and  components of the resultant vector  .

With this, the magnitude of the resultant vector  can be given by: