If R is a rotation matrix, then which of the following must be true about R? Select all that apply. R is square The columns of R are anthropomorphic vectors The rows of R are orthonormal vectors The inverse of R is equal to the transpose of R R is in a higher dimension than the points or shape being rotated The determinant of R is 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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If R is a rotation matrix, then which of the following must be true about R?
Select all that apply.
R is square
The columns of R are anthropomorphic vectors
The rows of R are orthonormal vectors
The inverse of R is equal to the transpose of R
R is in a higher dimension than the points or shape being rotated
The determinant of R is 1
Transcribed Image Text:If R is a rotation matrix, then which of the following must be true about R? Select all that apply. R is square The columns of R are anthropomorphic vectors The rows of R are orthonormal vectors The inverse of R is equal to the transpose of R R is in a higher dimension than the points or shape being rotated The determinant of R is 1
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