   Chapter 12.2, Problem 82E

Chapter
Section
Textbook Problem

# True or False? In Exercises 73-76, determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.If r and u are differentiable vector-valued functions of t. then d d t [ r ( t ) ⋅ u ( t ) ] = r ' ( t ) ⋅ u ' ( t )

To determine
Whether the statement “ddt[r(t)·u(t)]=r(t)·u(t)” is true or false.

Explanation

The product rule,

ddt[r(t).u(t)]=r'(t).u(t)+u'(t).r(t) r'(t)

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