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Find the coordinates of the foot of the perpendicular drawn from the origin to the plane $(a)\; 2x + 3y + 4z -12 = 0$

This question has multiple parts. Therefore each part has been answered as a separate question on Clay6.com

$\begin{array}{1 1} (\large\frac{24}{29},\frac{36}{29},\frac{-48}{29}) \\(\large\frac{2}{29},\frac{3}{29},\frac{4}{29}) \\ (\large\frac{24}{29},\frac{36}{29},\frac{48}{29}) \\ (2,3,4) \end{array} $

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