Find the transformation matrix for the following transformations: 1) Rotate a about the fixed x-axis. (Xo,...

Transcribed Image Text:

Find the transformation matrix for the following transformations: 1) Rotate a about the fixed x-axis. (Xo, Yo, Zo) → (X₁, Y₁, Z₁); 2) Followed by a rotation of about current z-axis. (X₁, Y₁, Z₁) → (X2, Y2, Zz); 3) Followed by a rotation of y about Xo -axis. (X₂, Y₂, Z2) → (X3, Y3, Z3); 4) Followed by a rotation of about Z3 — axis. (X3, Y3, Z3) → (X4, Y4, Z4). Note: give final answer in matrix multiplication form, write out the elements of the matrices, no need to multiply the matrices out. Find the transformation matrix for the following transformations: 1) Rotate a about the fixed x-axis. (Xo, Yo, Zo) → (X₁, Y₁, Z₁); 2) Followed by a rotation of about current z-axis. (X₁, Y₁, Z₁) → (X2, Y2, Zz); 3) Followed by a rotation of y about Xo -axis. (X₂, Y₂, Z2) → (X3, Y3, Z3); 4) Followed by a rotation of about Z3 — axis. (X3, Y3, Z3) → (X4, Y4, Z4). Note: give final answer in matrix multiplication form, write out the elements of the matrices, no need to multiply the matrices out.