Chapter 10: Q. 74 (page 826)
Let u, v, andw be vectors in . Prove that if and only if u is parallel to .
Short Answer
Hence, we prove that if and only if u is parallel to .
Chapter 10: Q. 74 (page 826)
Let u, v, andw be vectors in . Prove that if and only if u is parallel to .
Hence, we prove that if and only if u is parallel to .
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In Exercises 24-27, find and the component of v orthogonal tou.
Consider the sequence of sums
(a) What happens to the terms of this sequence of sums as k gets larger and larger?
(b) Find a sufficiently large value of k which will guarantee that every term past the kth term of this sequence of sums is in the interval (0.49999, 0.5).
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.
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