Find the coordinates of the foot of the perpendicular drawn from the point

Question:

Find the coordinates of the foot of the perpendicular drawn from the point $A(1,8,4)$ to the line joining the points $B(0,-1,3)$ and $C(2,-3,-1)$.

Solution:

$R\left(-\frac{5}{3}, \frac{2}{3}, \frac{19}{3}\right)$

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