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The expression in the vector form for the point ${\vec{r}}_{1}$ of intersection of the plane $\vec{r} . \vec{n} = d$ and the perpendicular line $\vec{r} = {\vec{r}}_{0} + t \vec{n}$ where $t$ is a parameter given by:

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${\vec{r}}_{1} = {\vec{r}}_{0} + (\frac{d - {\vec{r}}_{0} . \vec{n}}{{\vec{n}}^{2}}) \vec{n}$

${\vec{r}}_{1} = {\vec{r}}_{0} + (\frac{{\vec{r}}_{0} . \vec{n}}{{\vec{n}}^{2}}) \vec{n}$

${\vec{r}}_{1} = {\vec{r}}_{0} + (\frac{{\vec{r}}_{0} . \vec{n} - d}{| \vec{n} |}) \vec{n}$

${\vec{r}}_{1} = {\vec{r}}_{0} + (\frac{{\vec{r}}_{0} . \vec{n}}{| \vec{n} |}) \vec{n}$

answer is A.

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