A point object is moving with velocity \( \vec{v}_{o}=2 \hat{i}-3 \hat{j}+4 \hat{k} \) in front ...

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A point object is moving with velocity \( \vec{v}_{o}=2 \hat{i}-3 \hat{j}+4 \hat{k} \) in front of a moving plane mirror whose normal is along \( x \)-axis. The mirror is moving with velocity \( \vec{v}_{m}=\hat{i}-4 \hat{j}+3 \hat{k} \). Find the velocity vector of the image:
(a) \( 5 \hat{j} \)
(b) \( -3 \hat{j}+4 \hat{k} \)
(c) \( -4 \hat{j}+2 \hat{k} \)
(d) \( 2 \hat{i}-3 \hat{j}+2 \hat{k} \)
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