HW.Vectors-v3

HW.Vectors-v3 - Practice exercise Given the vectors a= (0,...

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Unformatted text preview: Practice exercise Given the vectors a= (0, 2, -1, 4, -1, 2) and b=( 3, 5, 6, 2, -2, -2) You can work out these things for yourself, and then check the answers in the box below Vector a+b Inner product <a|b> Length of a: |a| Length of b: |b| Cosine of the angle between them: cos ab The angle between them: ab ANSWERS TO PRACTICE: Vector a+b: (3, 7, 5, 6, -3, 0) Inner product <a|b>: 10 Length of a: |a| = 5.1 Length of b: |b| = 9.1 Cosine of the angle between them: .22 The angle between them: ab = 77 degrees. The following problems refer to these vectors: a = (1, 1, 3, 4) b= (4, -1, 3, 3 1. <a|b>= ? a. 12 b. 16 c. 20 d. 24 e. 28 2. |a|= ? a. 9 b. 3 c. 5.20 d. 6.19 e. 7.43 3. |b|= ? a. 9 b. 5.20 c. 5.92 d. 6.43 e. Not enough information 4. cos ab a. 0. b. 0.50 c. 0.78 d. 0.85 e. 1.0 5. The angle between the vectors a and b ab = a. 0 degrees b. 15 degrees c. 39 degrees d. 45 degrees e. 60 degrees 6. Are these two vectors perpendicular (that is, the angle between them is 90 degrees)? 6....
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This note was uploaded on 02/20/2012 for the course 790 373 taught by Professor Boros during the Fall '09 term at Rutgers.

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HW.Vectors-v3 - Practice exercise Given the vectors a= (0,...

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