а. Two vectors A and B are given at a point P(r, e, ¤) in space as А %3D10а, + 30а, -10а, | В 3D - За, - 10а, — 20а, Determine: i. 2A – 5B ii. A.B iii.A x B iv. The scalar component of A in the direction of B v. The vector projection of A in the direction of B and vi. A unit vector perpendicular to both A and B. b. Repeat the above solution if the two vectors A and B given at a point P(r, 0, D) in space reduced by 30 percent. c. Discuss the differences in solution a and b above
а. Two vectors A and B are given at a point P(r, e, ¤) in space as А %3D10а, + 30а, -10а, | В 3D - За, - 10а, — 20а, Determine: i. 2A – 5B ii. A.B iii.A x B iv. The scalar component of A in the direction of B v. The vector projection of A in the direction of B and vi. A unit vector perpendicular to both A and B. b. Repeat the above solution if the two vectors A and B given at a point P(r, 0, D) in space reduced by 30 percent. c. Discuss the differences in solution a and b above
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 13CR
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