Q. 12

Expert-verified
Found in: Page 228

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# Evaluate the dot product ifa). and b). and

a).

b).

See the step by step solution

We have,

and

also and

## Step 2. Part a). dot product  if  and

The dot product for these two vectors is in the form

Now, we put the components and components of the two vectors

The magnitude of and . So, the dot product will be

## Step 3. Part b). Dot product  if  and

We use the same step as in part (a) to get the dot products by putting the components and components of the two vectors