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P2 - a b c are non-zero(b Give an example that shows that...

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Math 241, Problem Set #1 (due in class Fri., 9/16/11) Stewart, section 10.2, problems 2, 6, 18, 20, 26, 33. Stewart, section 10.3, problems 9, 10, 18, 21, 27, 30, 34, 38, 40. Also: A. Find all unit vectors that are orthogonal to both i + j and j + k . B. (a) Show algebraically that if a , b , c are non-zero vectors in the x,y - plane such that a · b = b · c = 0, then a and c are parallel. (For simplicity, you may assume that all components of the vectors
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Unformatted text preview: a , b , c are non-zero.) (b) Give an example that shows that this assertion is false for vectors in 3-space. C. Given unit vectors a , b , c in the x, y-plane such that a · b = b · c = 0, let v = a + b + c ; what are the possible values of | v | ? D. Repeat the preceding problem, except that now a , b , and c are unit vectors in 3-space....
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