$A$ particle is moving with velocity $\vec{v}_p = (\hat{i} + 2\hat{j} + 3\hat{k}) \text{ m/s}$. $A$ plane mirror exists in the $x-y$ plane. The mirror has a velocity $\vec{v}_m = (\hat{i} + 2\hat{j}) \text{ m/s}$. The velocity of the image (in $\text{m/s}$) is:

• A
  $\hat{j} + \hat{k}$
• B
  $\hat{i} + 2\hat{j} - 3\hat{k}$
• C
  $-\hat{j} - \hat{k}$
• D
  none of these