2.3 - Rotation
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Practice Questions
Test your understanding with targeted questions
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.
What are the sine and cosine values for a 0-degree rotation?
💡 Hint: Values relate to the position on a unit circle.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What transformation does a rotation matrix facilitate?
💡 Hint: Think about how we adjust angles and positions.
True or False: Rotations in 3D can happen about multiple axes.
💡 Hint: Visualize a 3D object and how each axis affects its position.
1 more question available
Challenge Problems
Push your limits with advanced challenges
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.
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.
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