Vector Translations with matrices
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.