For given vectors i=(0.8, 0.6, 0), j=(-0.6, 0.8, 0), and k=(1, 0, 0) in 3D space; find the results of the following. (i · i means the dot product between i and i, i × i means the cross product between i and i) a) i . j b) i . k c) i x k d) i x i e) ||i × k|| f) 2i → k (projection of 2i onto k)

For given vectors i=(0.8, 0.6, 0), j=(-0.6, 0.8, 0), and k=(1, 0, 0) in 3D space; find the results of the following. (i · i means the dot product between i and i, i × i means the cross product between i and i) a) i . j b) i . k c) i x k d) i x i e) ||i × k|| f) 2i → k (projection of 2i onto k)

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 24P

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For given vectors i=(0.8, 0.6, 0), j=(-0.6, 0.8, 0), and k=(1, 0, 0) in 3D space;
find the results of the following. (i · i means the dot product between i and i, i × i means the cross product between i and i)

a) i . j
b) i . k
c) i x k
d) i x i
e) ||i × k||
f) 2i → k (projection of 2i onto k)

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