Q. 14

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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

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# Evaluate the dot product of the three pairs of vectors in Figure

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## Step 1. Given Information

We have

The dot product is the sum of the product of the component where this dot product is called the scalar product.

For two vector A and B and there is an angle x between then the dot product these two vectors is given by

## Step 2. Part a). and are the magnitudes and  is the angle

We are given vectors by and and the angle is

So,

## Step 3. Part b).  and  are the magnitudes and is the angle

The magnitude of the vector and and the angle is

So,

## Step 4. Part c).  and  are the magnitudes and  is the angle

The magnitude of the vector and and the angle is

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