If M is the foot of pependicular drawn from the origin on the line joining the points A(3,5 -1) and B(4,3 -1) find the coordinates of M.

Explanation

To find the coordinates of point M, which is the foot of the perpendicular drawn from the origin (0, 0, 0) to the line joining points A(3, 5, -1) and B(4, 3, -1), we will follow these steps:

### Step 1: Determine the direction vector of line AB
The direction vector \( \vec{AB} \) can be calculated as:
\[ \vec{AB} = B - A = (4 - 3, 3 - 5, -1 - (-1)) = (1, -2, 0) \]

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