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By writing a b in terms of components prove that the

Chapter 4, Problem 4.1

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QUESTION:

By writing a b in terms of components prove that the product rule for differentiation applies to the dot product of two vectors; that is, d(a b) da b + a db. dt dt dt

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QUESTION:

By writing a b in terms of components prove that the product rule for differentiation applies to the dot product of two vectors; that is, d(a b) da b + a db. dt dt dt

ANSWER:

Step 1 of 2

Let

                                                                  

Find the dot product of  and .

                                                         

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