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Quest Assignment 13-problems

Quest Assignment 13-problems - saliyev(is4663 Quest...

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saliyev (is4663) – Quest Assignment 13 – rodin – (54520) 1 This print-out should have 10 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Which of the following expressions are well- defined for all vectors a , b , c , and d ? I | a | × ( b × c ) , II ( a · b ) × ( c · d ) , III a × ( b · c ) . 1. II and III only 2. all of them 3. II only 4. I and III only 5. III only 6. none of them 7. I and II only 8. I only 002 10.0 points Which of the following statements are true for all vectors a , b = 0 ? A. a × b = b × a , B. If a × b = 0, then a b , C. | a × b | 2 + | a · b | 2 = | a | 2 | b | 2 . 1. all of them 2. A only 3. none of them 4. A and C only 5. B only 6. B and C only 7. C only 8. A and B only 003 10.0 points Determine all unit vectors v orthogonal to a = - 3 i + 4 j + k , b = - 3 i + 6 j + 2 k . 1. v = - 2 i + 6 j - 3 k 2. v = - 2 7 i + 6 7 j - 3 7 k 3. v = 2 7 i + 3 7 j - 6 7 k 4. v = 2 i + 3 j - 6 k 5. v = ± 2 7 i + 3 7 j - 6 7 k 6. v = ± 2 7 i - 6 7 j + 3 7 k 004 10.0 points Compute the volume of the parallelopiped with adjacent edges PQ , PR , PS
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