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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the matrix representation of a point in 2D?
💡 Hint: Think of how we represent coordinates in a plane.
Question 2
Easy
Name a type of transformation that alters the size of an object.
💡 Hint: Consider transformations related to measurements.
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 is the matrix representation of a point in 3D?
- [x
- y]
- [x
- y
- z
- 1]
- [x
- y
- z]
💡 Hint: Remember how we extend 2D to 3D.
Question 2
True or False: The order of matrix multiplication for transformations does not matter.
- True
- False
💡 Hint: Consider how different orders affect the result.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Consider a point P(2, 3) being translated by T(4, 5) and then rotated by 90 degrees. What is the final position of P?
💡 Hint: Remember the order of operations when transforming points.
Question 2
If a scaling transformation enlarges an object by a factor of 3 and a translation shifts it right by 5, what would be the transformation matrix for this combined process?
💡 Hint: Consider how to multiply matrices to combine transformations.
Challenge and get performance evaluation