Find the coordinates of the foot of the perpendicular drawn from the point `A(1,2,1)` to the line joining `B(1,4,6) and C(5,4,4)dot`

Explanation

To find the coordinates of the foot of the perpendicular drawn from the point \( A(1,2,1) \) to the line joining points \( B(1,4,6) \) and \( C(5,4,4) \), we can follow these steps:

### Step 1: Find the direction ratios of line BC

The direction ratios of the line joining points \( B \) and \( C \) can be calculated using the formula:
\[ \text{Direction Ratios} = (x_2 - x_1, y_2 - y_1, z_2 - z_1) \]
...