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Vector Translations with matrices

Author:
Les

Rotate the given vector a as described below. Screen shot each vector individually and submit via email.

1. Make a green vector b that increases the magnitude of a by 3 2. Make a red vector c that rotates a 90 degrees counter-clockwise. 3. Make a yellow vector d that rotates a 180 degrees counter-clockwise. 4. Make a blue vector e that rotates a 270 degrees counter-clockwise. 5. Make a dotted red vector f that rotates a 90 degrees clockwise. 6. Make a purple vector g that rotates a 230 degrees counter-clockwise.

What is the difference between clockwise and counter-clockwise rotations?

Multiply a 3D vector by a rotation matrix where z is fixed. Write the vector in component form.