A point P in space is defined as ᴮP = (5,3,4)ᵀ relative to frame B which is attached to the origin of the reference frame A and is parallel to it. Apply the following transformations to frame B and find ᴬP. Using the 3-D grid, plot the transformations and the result and verify it. Also verify graphically that you would not get the same results if you apply the transformations relative to the current frame:
- Rotate 900 about x-axis, then,
- Translate 3 units about y-axis, 6 units about z-axis, and 5 units about x-axis. Then,
- Rotate 900 about z-axis.