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In Exercises 5 through 14, let A = (-4, –2, 4), B = (2,7, –1),c= (6,-3,0), and D= (5, 4, -3). 5. Find A (B+ C) 8. Find A D-B. c 11. Find the cosine of the measure of the angle between A and B. 12. Find the cosine of the measure of the angle between C and D. 6. Find A · B+Ac 9. Find (B D)A - (D · A)B 7. Find (A · B)(C • D) 10. Find (2A + 3B) • (4C – D) 13. Find (a) the component of C in the direction of A and (b) the vector projection of C onto A. 14. Find (a) the component of B in the direction of D and (b) the vector projection of B onto D.

In Exercises 5 through 14, let A = (-4, –2, 4), B = (2,7, –1),c= (6,-3,0), and D= (5, 4, -3). 5. Find A (B+ C) 8. Find A D-B. c 11. Find the cosine of the measure of the angle between A and B. 12. Find the cosine of the measure of the angle between C and D. 6. Find A · B+Ac 9. Find (B D)A - (D · A)B 7. Find (A · B)(C • D) 10. Find (2A + 3B) • (4C – D) 13. Find (a) the component of C in the direction of A and (b) the vector projection of C onto A. 14. Find (a) the component of B in the direction of D and (b) the vector projection of B onto D.

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter80: Achievement Review—section Eight
Section: Chapter Questions
Problem 2AR
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In Exercises 5 through 14, let A = (-4, -2, 4), B= (2,7, –1). C= (6, -3, 0), and D = (5, 4,-3). 5. Find A (B+ C) 8. Find A · D-B.c 11. Find the cosine of the measure of the angle between A and B. 6. Find A · B+A C 9. Find (B · D)A - (D · A)B 7. Find (A · B) (C D) 10. Find (2A + 3B) (4C - D) 12. Find the cosine of the measure of the angle between C and D. 13. Find (a) the component of C in the direction of A and (b) the vector projection of C onto A. 14. Find (a) the component of B in the direction of D and (b) the vector projection of B onto D.
Transcribed Image Text:In Exercises 5 through 14, let A = (-4, -2, 4), B= (2,7, –1). C= (6, -3, 0), and D = (5, 4,-3). 5. Find A (B+ C) 8. Find A · D-B.c 11. Find the cosine of the measure of the angle between A and B. 6. Find A · B+A C 9. Find (B · D)A - (D · A)B 7. Find (A · B) (C D) 10. Find (2A + 3B) (4C - D) 12. Find the cosine of the measure of the angle between C and D. 13. Find (a) the component of C in the direction of A and (b) the vector projection of C onto A. 14. Find (a) the component of B in the direction of D and (b) the vector projection of B onto D.
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