L is the foot of the perpendicular drawn from a point p ( 3,4,5) on the XY- plane. The coordinates of point L are

Options

A. 3,0,0
B. 0,4,5
C. 3,0,5
D. none of these

Explanation

To find the coordinates of point L, which is the foot of the perpendicular drawn from point P (3, 4, 5) to the XY-plane, we can follow these steps:

### Step 1: Understand the position of point P
Point P has coordinates (3, 4, 5). This means it is located at x = 3, y = 4, and z = 5 in three-dimensional space.

### Step 2: Identify the properties of the XY-plane
The XY-plane is defined by the equation z = 0. This means that any point on the XY-plane will have a z-coordinate of 0.

### Step 3: Determine the coordinates of point L
Since point L is the foot of the perpendicular from point P to the XY-plane, we need to keep the x and y coordinates of point P the same while setting the z-coordinate to 0. Therefore, the coordinates of point L will be:
- x-coordinate: 3 (same as point P)
- y-coordinate: 4 (same as point P)
- z-coordinate: 0 (because it lies on the XY-plane)

Thus, the coordinates of point L are (3, 4, 0).

### Final Answer
The coordinates of point L are (3, 4, 0).

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