01aut-m1

# 01aut-m1 - MATH 51 MIDTERM 1(AUTUMN 2001 Definition of...

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Unformatted text preview: MATH 51 MIDTERM 1 (AUTUMN 2001) Definition of Cross Product: v 1 v 2 v 3 × w 1 w 2 w 3 = v 2 w 3- v 3 w 2 v 3 w 1- v 1 w 3 v 1 w 2- v 2 w 1 1. Suppose u = 2 5 1 , v = - 1 1 , θ is the angle between them, and A = • 1 2 3 4 5 6 ‚ . Compute: (a) (2 points) 2 u- 3 v , (b) (2 points) k u kk v k cos θ , (c) (2 points) k u kk v k sin θ , (d) (2 points) k u k , (e) (2 points) A u . 2. (10 points) Answer the following questions true or false . No explanation is required. You should be able to answer all of these questions without doing any calculations. (a) 1 2 3 4 , 2 3 . 4 9 10 , π 14- 1 1 . 2 , 1 . 3- 4 3- 94 , 5 9 10- 764 is a linearly independent set....
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01aut-m1 - MATH 51 MIDTERM 1(AUTUMN 2001 Definition of...

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