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

To find the coordinates of the foot of the perpendicular drawn from point \( A(1,0,3) \) to the line segment joining points \( B(4,7,1) \) and \( C(3,5,3) \), we can follow these steps:

### Step 1: Determine the direction vector of line BC
The direction vector \( \vec{BC} \) can be calculated as:
\[ \vec{BC} = C - B = (3 - 4, 5 - 7, 3 - 1) = (-1, -2, 2) \]

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