A succeeding transformation in which the double-primed systems is generated an angle about x axis: 3 ΣPrixi (k = 1,2,3) i=1 where x½ = Evaluate ỹ. 0 2-1-(²) B = [Bij] = 0 cos 0 - sin 0 cos 8. 0 The transformation matrixỹ = [ij] for the succeeding transformation of rotation & followed by rotation is given by Ỹ = Bã sin 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 40E
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Find the transformation matrix for coordinate change by a rotation through an angl
сосф
Cor & sin b
саб
-sino caso
Ã
12
(***).
d
Transcribed Image Text:Find the transformation matrix for coordinate change by a rotation through an angl сосф Cor & sin b саб -sino caso à 12 (***). d
A succeeding transformation in which the double-primed systems is generated an angle 0 about x axis:
3
x = Σ Brixi (k = 1,2,3)
i=1
where
B = (P₁) = Co
1
0
=
Evaluate ỹ.
0
cos 8
- sin 0
0
sin 0
cos e
The transformation matrixỹ = [ij] for the succeeding transformation of rotation followed by
rotation is given by
Ỹ = Bã
Transcribed Image Text:A succeeding transformation in which the double-primed systems is generated an angle 0 about x axis: 3 x = Σ Brixi (k = 1,2,3) i=1 where B = (P₁) = Co 1 0 = Evaluate ỹ. 0 cos 8 - sin 0 0 sin 0 cos e The transformation matrixỹ = [ij] for the succeeding transformation of rotation followed by rotation is given by Ỹ = Bã
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