3.2 #2 The question is in the picture please answer a, and b

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3.2 #2

The question is in the picture please answer a, and b

Clockwise Rotations: If 0 < 0, the formula for [rote] is exactly the same, but the
geometric effect is a clockwise rotation by |0|. For the following 0: (i) find the matrix of
rote; (ii) compute rote(v) for v = (5, 3), providing both exact and approximate answers,
and (iii) sketch v and rote(v) and check with a ruler and protractor that rotev) has the
same length as v but is rotated clockwise by |0|.
2.
а. —2л/3
b. -5л/6
Transcribed Image Text:Clockwise Rotations: If 0 < 0, the formula for [rote] is exactly the same, but the geometric effect is a clockwise rotation by |0|. For the following 0: (i) find the matrix of rote; (ii) compute rote(v) for v = (5, 3), providing both exact and approximate answers, and (iii) sketch v and rote(v) and check with a ruler and protractor that rotev) has the same length as v but is rotated clockwise by |0|. 2. а. —2л/3 b. -5л/6
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