This preview shows pages 1–3. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
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 <ab> 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 <ab>: 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. <ab>= ? 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....
View
Full
Document
This note was uploaded on 02/20/2012 for the course 790 373 taught by Professor Boros during the Fall '09 term at Rutgers.
 Fall '09
 Boros

Click to edit the document details