Let u=i-3j+2k, v=i+j, and w=2i+2j-4k be vectors in 3-space. Find: (a) ||u+v|| (b) unit vector in the direction of w (c) u-(v+w)

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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Let u=i-3j+2k, v=i+j, and w=2i+2j−4k be vectors in 3-space.
Find:
(a)u+1
(b) unit vector in the direction of w
(c) u.(v+w)
(d) the angle between u and y
(e) the direction cosines of the vector u
(f) the orthogonal projection of v onto w
(g) uxv
(h) u.(vxw)
Transcribed Image Text:Let u=i-3j+2k, v=i+j, and w=2i+2j−4k be vectors in 3-space. Find: (a)u+1 (b) unit vector in the direction of w (c) u.(v+w) (d) the angle between u and y (e) the direction cosines of the vector u (f) the orthogonal projection of v onto w (g) uxv (h) u.(vxw)
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