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Image of the point with position vector $\vec{a}$ in the plane $\vec{r} . \vec{n} = d$ is

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$\frac{\vec{a} - 2 (d - \vec{a} . \vec{n})}{{| \vec{n} |}^{2}} \vec{n}$

$\vec{a} + \frac{2 (\vec{a} . \vec{n} - d)}{{| \vec{n} |}^{2}} \vec{n}$

$\vec{a} + \frac{2 (d - \vec{a} . \vec{n})}{{| \vec{n} |}^{2}} \vec{n}$

$\vec{n} + \frac{2 (d - \vec{a} . \vec{n})}{{| \vec{n} |}^{2}} \vec{n}$

answer is C.

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