Foundations of Virtual Reality Nptel Week 3 Answers
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Foundations of Virtual Reality Nptel Week 3 Answers (July-Dec 2025)
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Question 1. Both Unity and Unreal Engine use right-handed coordinate frames to match mathematical definitions in textbooks.
a) True
b) False
Question 2. Which ones of the following transformation matrices represent rigid body transformations?
a) Rotations and their inverses.
b) Shearing and their inverses.
c) Mirror images and their inverses.
d) A matrix that converts between left-handed and right-handed coordinate systems.
e) None of the above.
Question 3. Which one of the following matrices represent a 3D rigid body rotation?
a) [Math Processing Error]
b) [Math Processing Error]
c) [Math Processing Error]
d) [Math Processing Error]
e) None of the listed.
Question 4. Where does the following transformation matrix take the x⃗ unit vector?
a) [Math Processing Error]
b) [Math Processing Error]
c) [Math Processing Error]
d) [Math Processing Error]
e) [Math Processing Error]
f) None of the listed.
Question 5. What is the best description of the following matrix?
a) A pitch rotation of 90 degrees.
b) A roll rotation of -90 degrees.
c) Switching between left-handed and right-handed coordinate frames.
d) A rigid body transformation matrix.
e) None of the above.
Question 6. What is the best description of the following matrix?
a) A pitch rotation of 90 degrees.
b) A yaw rotation of -180 degrees.
c) Switching between left-handed and right-handed coordinate frames.
d) Not a rigid body transformation matrix.
e) None of the above.
Question 7. What is the best description of the following matrix?
a) A pitch rotation of 90 degrees.
b) A roll rotation of -90 degrees.
c) Switching between left-handed and right-handed coordinate frames.
d) A rigid body transformation matrix.
e) None of the above.
Question 8. What is the quaternion corresponding to the rotation matrix, M?
a) (3√2,0,0,13)
b) (2√2,0,0,−2√2)
c) (cos45∘/2,0,0,sin45∘/2)
d) (cos45∘/2,0,0,−sin45∘/2)
e) None of the above.
Question 9. What is the quaternion corresponding to the rotation matrix, M?
a) (-1, 0, 0, 0)
b) (0, -1, 0, 0)
c) (0, 0, -1, 0)
d) (0, 0, 0, -1)
e) None of the above.
Question 10. What is the quaternion corresponding to the rotation matrix, M?
a) (1,0,1,0)
b) (2√2,0,2√2,0)
c) (2√2,0,−2√2,0)
d) (cos45∘/2,0,sin45∘/2,0)
e) None of the above.
These are Foundations of Virtual Reality Nptel Week 3 Answers