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3 cards from this section. Quick, good the night before a test.
What does a rotation matrix do?
Think about how robots change their orientation.
Name one property that rotation matrices must have.
What does orthogonal mean in geometry?
What must be true about the determinant of a rotation matrix?
Recall the importance of preserving object characteristics.
True or False: Rotation matrices can distort the shape of objects they transform.
Think about the properties that define a rotation matrix.
Consider a 3D object represented by the point (2, 3, 5). If you apply a rotation matrix around the Y-axis by 90 degrees, what will be the new coordinates?
Remember the formula for rotating around the Y-axis!
You have a rotation matrix R: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]. What rotation does this matrix represent and around which axis?
Think about the signs and the positions of the elements in the matrix.
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