Find the co-ordinates of the foot of perpendicular drawn from point `A(1,6,3)` to the line `(x)/(1) = (y-1)/(2) = (z-2)/(3)`.

Explanation

To find the coordinates of the foot of the perpendicular drawn from the point \( A(1, 6, 3) \) to the line given by the equations \( \frac{x}{1} = \frac{y-1}{2} = \frac{z-2}{3} \), we can follow these steps:

### Step 1: Parametrize the Line

The line can be expressed in parametric form. Let \( t \) be the parameter. Then we can write:

\[
x = t, \quad y = 2t + 1, \quad z = 3t + 2
...