Day 4_Part_1

# Day 4_Part_1 - x 1 ˆ y 1 ˆ z Rotation About z-axis...

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Day 04 Rotations 1/17/2011 1

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Properties of Rotation Matrices 1/17/2011 2 R T = R -1 the columns of R are mutually orthogonal each column of R is a unit vector det R = 1 (the determinant is equal to 1 )
Rotations in 3D 1/17/2011 3 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 z z z y z x y z y y y x x z x y x x R 0 ˆ x 0 ˆ y 1 0 o o 0 ˆ z 1 ˆ

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Unformatted text preview: x 1 ˆ y 1 ˆ z Rotation About z-axis 1/17/2011 4 ˆ x ˆ y 1 ˆ ˆ z z 1 ˆ x 1 ˆ y +'ve rotation Rotation About x-axis 1/17/2011 5 ˆ x ˆ y ˆ z 1 ˆ x 1 ˆ y +'ve rotation 1 ˆ z...
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## This note was uploaded on 02/13/2012 for the course CSE 4421 taught by Professor Burton during the Winter '11 term at York University.

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Day 4_Part_1 - x 1 ˆ y 1 ˆ z Rotation About z-axis...

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