Find the coordinates of the foot of the perpendicular drawn from point `A(1,0,3)` to the join of points `B(4,7,1)a n d C(3,5,3)dot`

Explanation

The equation of line through B(1,4,6) and C(5,4,4) is


`frac{x-1}{5-1}=frac{y-4}{4-4}=frac{z-6}{4-6}`


or` frac{pi-1}{4}=frac{y-4}{0}=frac{z-6}{-2}={k}`

or` x-1=4 k, y-4=0, z-6=-2 k`

or x=4 k+1, y=4, z=-2 k+6

Any point D on it is (4 k+1,4,-2 k+6)

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