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Show that the resulting transformation for rotation about and arbitrary point is given by the matrix below cos 0 -sin 0 P¿(1– cos 0) – P, sin 0 P,(1 – cos 0) + Pz sin 0 sin 0 cos 0 1

Show that the resulting transformation for rotation about and arbitrary point is given by the matrix below cos 0 -sin 0 P¿(1– cos 0) – P, sin 0 P,(1 – cos 0) + Pz sin 0 sin 0 cos 0 1

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 57E
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Show that the resulting transformation for rotation about and arbitrary point is given by the matrix below [cos 0 -sin 0 P¿(1 – cos 0) – P, sin 0 P,(1 – cos 0) + Pz sin 0 sin 0 cos e 1
Transcribed Image Text:Show that the resulting transformation for rotation about and arbitrary point is given by the matrix below [cos 0 -sin 0 P¿(1 – cos 0) – P, sin 0 P,(1 – cos 0) + Pz sin 0 sin 0 cos e 1
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