4.5 - General 3D Transformation Concatenation
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Practice Questions
Test your understanding with targeted questions
What is a transformation?
💡 Hint: Think about how we move or resize objects.
Define what a matrix is in the context of transformations.
💡 Hint: Consider how information can be organized in a grid.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the term for combining transformations through matrix multiplication?
💡 Hint: Think about how you combine steps.
True or False: The order of operations does not matter when performing transformations with matrices.
💡 Hint: Consider a situation where changing the order might lead to different results.
1 more question available
Challenge Problems
Push your limits with advanced challenges
A cube at position (2, 2, 2) is translated to (4, 4, 4) and then scaled by a factor of 2. What is the final position of a vertex from (2, 2, 2)?
💡 Hint: Remember to first apply the translation, then scale the new coordinates.
Given a matrix representing a rotation of 90 degrees around the z-axis, apply this to point (1, 0, 0) and provide the new coordinates.
💡 Hint: Use the rotation matrix for z-axis to find the transformed coordinates.
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