Let's simulate the process of constructing a matrix for a 3D transformation that rotates 13 degrees about the axis n = [0.3, 0.2, 0.5]. First step: is the vector n a unit vector? (on the answers, 0.3^2 means 0.3-squared, and so on) O Yes, since 0.3 +0.2 + 0.5 = 1 O No, since 0.3^2 +0.2^2 + 0.5^2 < 1 O No, since 0.3^2 + 0.2^2 + 0.5^2 > 1 O No, since 0.3^2 +0.2^2 + 0.5^2 = 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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Let's simulate the process of constructing a matrix for a 3D transformation that rotates 13 degrees about the axis **n** = [0.3, 0.2, 0.5].  
First step: is the vector **n** a unit vector?  
(on the answers, 0.3^2 means 0.3-squared, and so on)

- ○ Yes, since 0.3^2 + 0.2^2 + 0.5^2 = 1
- ○ No, since 0.3^2 + 0.2^2 + 0.5^2 < 1
- ○ No, since 0.3^2 + 0.2^2 + 0.5^2 > 1
- ○ No, since 0.3^2 + 0.2^2 + 0.5^2 = 1
Transcribed Image Text:Let's simulate the process of constructing a matrix for a 3D transformation that rotates 13 degrees about the axis **n** = [0.3, 0.2, 0.5]. First step: is the vector **n** a unit vector? (on the answers, 0.3^2 means 0.3-squared, and so on) - ○ Yes, since 0.3^2 + 0.2^2 + 0.5^2 = 1 - ○ No, since 0.3^2 + 0.2^2 + 0.5^2 < 1 - ○ No, since 0.3^2 + 0.2^2 + 0.5^2 > 1 - ○ No, since 0.3^2 + 0.2^2 + 0.5^2 = 1
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