2- An object has a local coordinate system a=(1,0,0),b=(0,1,0),c=(0,0,1) with origin (3,2,1). Which homogeneous matrix rotates the object in to a new coordinate system u=(0,0,1),v=(0,−1,0),n=(1,0,0) with the same origin as before?
The choices are:
3- show how to use a 3 dimensional matrix to rotate the unit cube about the axis defined by vector [1,1,1] ?
4-derive the transformation matrix to rotate a 3D object by angle (theta) about an arbitrary line parallel to but not coincident with z-axis