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3 votes
3 votes

Consider the following transformation matrix for rotation(clockwise):

$[T] = \begin{bmatrix} \cos\theta & \sin\theta & 0 & 0 \\ -\sin\theta & \cos\theta & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 1 \end{bmatrix}$

This matrix rotates an object by an angle $\theta$ about:

  1. X-axis
  2. Y-axis
  3. Z-axis
  4. All of the above
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2 votes
2 votes

rotation matrix along z-axis  with angle theta (anticlockwise is given by )

X=    Xcosθ -Y sinθ

y=   X sinθ +Ycosθ

which can be written in homogeneous form as below

to make it clockwise just replace θ by -θ so cos(-θ)=cosθ and sin (-θ)=-sinθ

so in above matrix leave cos θ as it is and Change sinθ by -sin θ and   -sinθ by sinθ

hence ans is C 

Answer:

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