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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the angle in degrees for a rotation that turns a point (1, 0) to (0, 1)?
💡 Hint: Think about how many quarter turns are needed.
Question 2
Easy
What are the sine and cosine values for a 0-degree rotation?
💡 Hint: Values relate to the position on a unit circle.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What transformation does a rotation matrix facilitate?
- Translating
- Scaling
- Rotating
💡 Hint: Think about how we adjust angles and positions.
Question 2
True or False: Rotations in 3D can happen about multiple axes.
- True
- False
💡 Hint: Visualize a 3D object and how each axis affects its position.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A geometric object rotates 90 degrees about the y-axis followed by a 45-degree rotation about the z-axis. Determine the new coordinates of the point (2, 1, 1).
💡 Hint: Use corresponding rotation matrices for each axis and apply them sequentially.
Question 2
If a point (1, 1, 0) undergoes a consecutive rotation of 180 degrees about the z-axis and then a 90-degree rotation about the x-axis, what are the resulting coordinates?
💡 Hint: Apply each rotation matrix in the order given.
Challenge and get performance evaluation