For any vectors v and w , consider the following functionof t:q(t)=(v + t w ) (v + t w

Chapter 13, Problem 70

(choose chapter or problem)

For any vectors v and w , consider the following functionof t:q(t)=(v + t w ) (v + t w ).(a) Explain why q(t) 0 for all real t.(b) Expand q(t) as a quadratic polynomial in t using theproperties on page 735.(c) Using the discriminant of the quadratic, show that|v w |v w .

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