Write down the 4 x 4 rotation matrix that takes the orthonormal 3D vectors u (Xu, Yu, Zu), V = (xv, Yv, zv), and w = (xw, yw, Zw), to orthonormal 3D vectors a = (xa, ya, za), b Mu= a, Mv= b, and Mw= = C. (xb, yb, zb), and c (2c,c, ~c), So *** =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 11E
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Write down the 4 x 4 rotation matrix that takes the orthonormal 3D vectors
u
(Xu, Yu, Zu), V = (xv, Yv, Zv), and w = (xw, Yw, zw), to orthonormal
3D vectors a = (xa, ya, Za), b
(xb, Yb, zb), and c
(xc, yc, Ze), So
Mu - a, Mv= b, and Mw= = C.
******
=
Transcribed Image Text:Write down the 4 x 4 rotation matrix that takes the orthonormal 3D vectors u (Xu, Yu, Zu), V = (xv, Yv, Zv), and w = (xw, Yw, zw), to orthonormal 3D vectors a = (xa, ya, Za), b (xb, Yb, zb), and c (xc, yc, Ze), So Mu - a, Mv= b, and Mw= = C. ****** =
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