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3 cards from this section. Quick, good the night before a test.
What does the z-axis represent in 3D space?
Consider the three dimensions — provide a direction.
What matrix is used to rotate objects around the z-axis?
Look for the one associated with rotation.
What does the z-axis represent in 3D space?
Consider which direction represents up or down.
True or False: Rotation around the z-axis changes the z-coordinate.
Think about what the rotation matrix tells you.
A point (4, 5, 2) rotates 90 degrees around the z-axis. What are the new coordinates?
Use the rotation matrix for 90 degrees.
In a CAD application, how would you use the z-axis to align two components? Describe the steps.
Think about alignment in 3D space and how rotations affect orientations.
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