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What is the difference between a direction cosines matrix and a rotation matrix? O A direction cosines matrix can do only rotations around one coordinate axis at a time, either around x-, y- or z-axis. While a rotation matrix can do any rotation. O A rotation matrix can do only rotations around one coordinate axis at a time, either around x-, y- or z- axis. While a direction cosines matrix can do any rotation. O A rotation matrix is the same thing as a direction cosines matrix O A rotation matrix can only be 3x3, while a direction cosines matrix can be either 2x2 or 3x3.

What is the difference between a direction cosines matrix and a rotation matrix? O A direction cosines matrix can do only rotations around one coordinate axis at a time, either around x-, y- or z-axis. While a rotation matrix can do any rotation. O A rotation matrix can do only rotations around one coordinate axis at a time, either around x-, y- or z- axis. While a direction cosines matrix can do any rotation. O A rotation matrix is the same thing as a direction cosines matrix O A rotation matrix can only be 3x3, while a direction cosines matrix can be either 2x2 or 3x3.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Question 7** What is the difference between a direction cosines matrix and a rotation matrix? - ☐ A direction cosines matrix can do only rotations around one coordinate axis at a time, either around x-, y-, or z-axis. While a rotation matrix can do any rotation. - ☐ A rotation matrix can do only rotations around one coordinate axis at a time, either around x-, y-, or z-axis. While a direction cosines matrix can do any rotation. - ☐ A rotation matrix is the same thing as a direction cosines matrix. - ☐ A rotation matrix can only be 3x3, while a direction cosines matrix can be either 2x2 or 3x3.
Transcribed Image Text:**Question 7** What is the difference between a direction cosines matrix and a rotation matrix? - ☐ A direction cosines matrix can do only rotations around one coordinate axis at a time, either around x-, y-, or z-axis. While a rotation matrix can do any rotation. - ☐ A rotation matrix can do only rotations around one coordinate axis at a time, either around x-, y-, or z-axis. While a direction cosines matrix can do any rotation. - ☐ A rotation matrix is the same thing as a direction cosines matrix. - ☐ A rotation matrix can only be 3x3, while a direction cosines matrix can be either 2x2 or 3x3.
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