Chapter 10: Q. 73 (page 826)
Let u and v be vectors in such that . Prove that if is the angle between u and v, then role="math" localid="1650011942678"
Short Answer
Hence, we prove that if is the angle between u and v, then
Chapter 10: Q. 73 (page 826)
Let u and v be vectors in such that . Prove that if is the angle between u and v, then role="math" localid="1650011942678"
Hence, we prove that if is the angle between u and v, then
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Get started for freeIn Exercises 22–29 compute the indicated quantities when
If u, v and w are three vectors in , which of the following products make sense and which do not?
localid="1649346164463"
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.
In Exercises 36–41 use the given sets of points to find:
(a) A nonzero vector N perpendicular to the plane determined by the points.
(b) Two unit vectors perpendicular to the plane determined by the points.
(c) The area of the triangle determined by the points.
(Hint: Think of the -plane as part of .)
Find .
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