A rotation about the origin in 2-space
through an angle θ does exactly what it says: it rotates vectors about
the origin through an angle θ.
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| Introduction | Projections in 2-space | Reflections in 2-space | Scale changes in 2-space |
| Shears in 2-space | Rotations in 2-space | A sampler of 3-space matrix operators | |
If you rotate vectors through an angle θ,
through what angle would you need to rotate to move the vectors back where they
came from? How would you express that fact as a property of the rotation matrix
above?
If you rotate vectors through an angle θ and
then through an angle φ, the net effect is a rotation through the angel θ +
φ. How would you express that fact in matrix form?
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