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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+v (b) unit vector in the direction of w (c) u (v + w) (d) the angle between u and v (e) the direction cosines of the vector u (f) the orthogonal projection of v onto w (g) uxv

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) (d) the angle between u and v (e) the direction cosines of the vector u (f) the orthogonal projection of v onto w (g) uxv

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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answer part d, e, f and g

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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