Find the unit vector ˆeD in the direction of vector D~ = 1/2 ˆı +ˆj + 2/3 ˆk . (a) 1/√ 61 3ˆı + 6ˆj + 4ˆk (b) 1/√ 46 ˆı − 3ˆj + 6ˆk (c) 1/√ 209 12ˆı +ˆj − 8 ˆk (d) 1/√ 21 2ˆı − 4ˆj + ˆk (e) 1/√ 83 ˆı +ˆj − 9

Find the unit vector ˆeD in the direction of vector D~ = 1/2 ˆı +ˆj + 2/3 ˆk . (a) 1/√ 61 3ˆı + 6ˆj + 4ˆk (b) 1/√ 46 ˆı − 3ˆj + 6ˆk (c) 1/√ 209 12ˆı +ˆj − 8 ˆk (d) 1/√ 21 2ˆı − 4ˆj + ˆk (e) 1/√ 83 ˆı +ˆj − 9

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter1: Matrices, Vectors, And Vector Calculus

Section: Chapter Questions

Problem 1.41P: For what values of a are the vectors A = 2ai − 2j + ak and B = ai + 2aj + 2k perpendicular?

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Question

Find the unit vector ˆeD in the direction of vector D~ = 1/2 ˆı +ˆj + 2/3 ˆk .

(a) 1/√ 61 3ˆı + 6ˆj + 4ˆk

(b) 1/√ 46 ˆı − 3ˆj + 6ˆk

(d) 1/√ 21 2ˆı − 4ˆj + ˆk

(e) 1/√ 83 ˆı +ˆj − 9

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