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Section 5-3 : Dot Product For problems 1- 2 determine the dot product, a-b. 1. a = 9ĩ -SE, 5= (3.-2.1)

Section 5-3 : Dot Product For problems 1- 2 determine the dot product, a-b. 1. a = 9ĩ -SE, 5= (3.-2.1)

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Section 5-3 : Dot Product For problems 1- 2determine the dot product, ā-5. 1. 7 =97-8k, B- (3.-2.1) 2. lal- 5|- and the angle between the two vectors is @ - 7. For problems 3- 4 determine the angle between the two vectors. 3. p = 97 - j, j = -3i -6] 4 a= (4,0,-3), 6= 27+107-115 For problems 5- 6 determine if the two vectors are parallel, orthogonal or neither. 5. ē = 77 -147-21k, p=(-4,8,12) 6. ī- (5,0,-2), 7 -(4,-7,10) 7. Given that ā-5 = -6, | = 4.3 and the angle between ä and 5 is e = determine if 5 is a unit vector or not. 8. Given p= (5,-2,1) and 7 = (0,4,8) compute proj, 7. 9. Given ā =ī+3]- 2k and 5= -3i -4j + 7k compute proj, 5. 10. Determine the direction cosines and direction angles for i = (5, 2,-7).
Transcribed Image Text:Section 5-3 : Dot Product For problems 1- 2determine the dot product, ā-5. 1. 7 =97-8k, B- (3.-2.1) 2. lal- 5|- and the angle between the two vectors is @ - 7. For problems 3- 4 determine the angle between the two vectors. 3. p = 97 - j, j = -3i -6] 4 a= (4,0,-3), 6= 27+107-115 For problems 5- 6 determine if the two vectors are parallel, orthogonal or neither. 5. ē = 77 -147-21k, p=(-4,8,12) 6. ī- (5,0,-2), 7 -(4,-7,10) 7. Given that ā-5 = -6, | = 4.3 and the angle between ä and 5 is e = determine if 5 is a unit vector or not. 8. Given p= (5,-2,1) and 7 = (0,4,8) compute proj, 7. 9. Given ā =ī+3]- 2k and 5= -3i -4j + 7k compute proj, 5. 10. Determine the direction cosines and direction angles for i = (5, 2,-7).
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