Instead of considering the rotation of a point about an axis, consider the rotation of the camera. rotations of the
camera cause the screen to rotate along with it, so that to the viewer, the screen appears immobile.
a. if the camera rotates thetax around the x-axis, how does the computer world appear to move?
b. state the rotation matrix we could use on a point a to simulate rotating the camera and computer screen by
thetax about the x-axis but in fact keeping the camera and screen fixed.
c. if the camera rotates thetay around the y-axis, how does the computer world appear to move?
d. state the rotation matrix we could use on a point a to simulate rotating the camera and computer screen by
thetay about the y-axis but in fact keeping the camera and screen fixed.
e. if the camera rotates thetaz around the z-axis, how does the computer world appear to move?
f. state the rotation matrix we could use on a point a to simulate rotating the camera and computer screen by
thetaz about the z-axis but in fact keeping the camera and screen fixed.
g. what matrix multiplication could represent the camera starting at a relative angle , thetay, apply the
transformations in the order z-y-x. do not find the product.