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Q. 12

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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 if

a). and

b). and

a).

b).

See the step by step solution

Step by Step Solution

Step 1. Given information

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

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