Which is a correct equation for 3D translation?
What
are the final coordinates after a translation of point P (10, 10, 10) into 3D
space with translation factor T (10, 20, 5)?
a) (20,
30, 15)
b) (20, 20, 25)
c) (15, 30, 25)
d) (15, 20, 25)
Which is a correct equation for 3D rotation about X-axis?
What are the final coordinates after
rotation of the point P(5, 5, 5) 90° about Z-axis?
a) (5, -5, -5)
b) (-5, 5, 5)
c) (-5, -5, -5)
d) (5, -5, 5)
Arrange steps of general 3D rotations in the correct order :
1. Apply inverse rotations to bring the rotation axis back to its original orientation.
2. Apply the inverse translation to bring the rotation axis back to its original position.
3. Rotate the object so that the axis of rotation coincides with one of the coordinate axes.
4. Perform the specified rotation about that coordinate axis.
5. Translate the object so that the rotation axis passes through the coordinate origin.
a) 3, 5, 4, 2, 1
b) 3, 2, 4, 5, 1
c) 5, 3, 4,1, 2
d) 1, 2, 3, 4, 5
Which is a correct equation for 3D scaling?