If M is the foot of perpendicular drawn from `A(4, 3, 2)` on the lines joining the points `B(2, 4, 1) and C(4, 5, 3)`, Find the coordinates of M.

Explanation

To find the coordinates of point M, which is the foot of the perpendicular drawn from point A(4, 3, 2) to the line joining points B(2, 4, 1) and C(4, 5, 3), we can follow these steps:

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

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