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Section 5-3: Dot Product For problems 1-2 determine the dot product, ā.b. 1. a = 97 -8k, b =(3,-2,1) 2-ª-11-² 2. For problems 3-4 determine the angle between the two vectors. 3. p=91-7.q=-37-67 and the angle between the two vectors is 0 = π.

Section 5-3: Dot Product For problems 1-2 determine the dot product, ā.b. 1. a = 97 -8k, b =(3,-2,1) 2-ª-11-² 2. For problems 3-4 determine the angle between the two vectors. 3. p=91-7.q=-37-67 and the angle between the two vectors is 0 = π.

Precision Machining Technology (MindTap Course List)
Precision Machining Technology (MindTap Course List)
2nd Edition
ISBN:9781285444543
Author:Peter J. Hoffman, Eric S. Hopewell, Brian Janes
Publisher:Peter J. Hoffman, Eric S. Hopewell, Brian Janes
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Section 5-3: Dot Product For problems 1-2 determine the dot product, ā.b. 1. a -97-8k, b =(3,-2.1) 2. ||ā|| = =- |5||· and the angle between the two vectors is = . 4 For problems 3-4 determine the angle between the two vectors. 3. p=9i-j, q=-37-67 4. a = (4.0,-3), b = 27 +10j-11k For problems 5-6 determine if the two vectors are parallel, orthogonal or neither. 5.q=77-14j-21k, p=(-4,8,12) 6. u =(5.0,-2), ā=(4,-7,10) 7. Given that ā.b = -6, ||ā|| = 4.3 and the angle between a and 5 is 0 = =determine if b is a unit 6 vector or not. 8. Given p=(5,-2.1) and = (0,4,8) compute proj, ā. 9. Given ā= 7+33-2k and b = -3i -4j+7k compute proj; b. 10. Determine the direction cosines and direction angles for 7= =(5,2₁-7).
Transcribed Image Text:Section 5-3: Dot Product For problems 1-2 determine the dot product, ā.b. 1. a -97-8k, b =(3,-2.1) 2. ||ā|| = =- |5||· and the angle between the two vectors is = . 4 For problems 3-4 determine the angle between the two vectors. 3. p=9i-j, q=-37-67 4. a = (4.0,-3), b = 27 +10j-11k For problems 5-6 determine if the two vectors are parallel, orthogonal or neither. 5.q=77-14j-21k, p=(-4,8,12) 6. u =(5.0,-2), ā=(4,-7,10) 7. Given that ā.b = -6, ||ā|| = 4.3 and the angle between a and 5 is 0 = =determine if b is a unit 6 vector or not. 8. Given p=(5,-2.1) and = (0,4,8) compute proj, ā. 9. Given ā= 7+33-2k and b = -3i -4j+7k compute proj; b. 10. Determine the direction cosines and direction angles for 7= =(5,2₁-7).
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