2. What is the rotation matrix for an object rotation of around the X axis, followed by around the X axis, and followed by a rotation of around the Z axis. All rotations are counterclock wise. 3. Consider a vector (7,3,2) which is rotated around the Z axis by 90, and then rotated around the Y axis by 90 and finally translated by (4,3,7). Find the new coordinates of the vector. All rotations are clockwise. 4. Show that following identities are true. R90YR90X=R270ZR90Y,R90YR180X=R180ZR90YR180yR90X=R180ZR270X,R180YR270X=R180ZR90X