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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the rotation matrix for 2D rotation by angle θ?
💡 Hint: Recall the trigonometric functions used in the matrix.
Question 2
Easy
How does rotation around the Z-axis affect a point in 3D?
💡 Hint: Consider how the point's projection on the XY-plane changes.
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 does the rotation matrix in 2D represent?
- Translation of points
- Rotating points around the origin
- Scaling points
💡 Hint: Think about what happens when you rotate a point around the center.
Question 2
True or False: The order of matrix multiplication affects the result of transformations.
- True
- False
💡 Hint: Remember how sequential operations change the outcome.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a 3D point (4, 3, 2), determine its new position after a rotation of 90 degrees about the Y-axis.
💡 Hint: Apply the rotation matrix for Y and calculate directly.
Question 2
If a point moves from (3, 0) to (0, 3) by applying a 90-degree rotation, express the steps using the rotation matrix.
💡 Hint: Consider how matrix multiplication lends itself to transforming coordinates.
Challenge and get performance evaluation