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Chapter 10: Q.25 (page 849)
Find \(||u||\) if \(u=<2,4,-1>\).
\(||u||=\sqrt{21}\)
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In Exercises 24-27, find and the component of v orthogonal tou.
If u, v and w are three vectors in , which of the following products make sense and which do not?
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In Exercises 30–35 compute the indicated quantities when
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Suppose that we know the reciprocal rule for limits: If exists and is nonzero, then This limit rule is tedious to prove and we do not include it here. Use the reciprocal rule and the product rule for limits to prove the quotient rule for limits.
Use the Intermediate Value Theorem to prove that every cubic function has at least one real root. You will have to first argue that you can find real numbers a and b so that f(a) is negative and f(b) is positive.
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