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Q. 14

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 228

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Short Answer

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

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Step by Step Solution

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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