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

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter6: Energy Of A System
Section6.3: The Scalar Product Of Two Vectors
Problem 6.3QQ: Which of the following statements is true about the relationship between the dot product of two...
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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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