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If product of matrix $A=\begin{bmatrix}\cos^{2}\theta &\cos \theta \sin \theta \\  \cos \theta \sin \theta &\sin ^{2} \theta& \end{bmatrix}$ and $B=\begin{bmatrix}\cos^{2}\phi &\cos \phi \sin \phi \\  \cos \phi \sin \phi &\sin ^{2} \phi& \end{bmatrix}$ is a null matrix, then $\theta$ and $\phi$ differ by an

  1. odd multiple of $\pi$
  2. even multiple of $\pi$
  3. odd multiple of $\dfrac{\pi}{2}$
  4. even multiple of $\dfrac{\pi}{2}$

 

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