`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 Coordinates 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 its \( z \)-coordinate equal to 0.

### Step 2: Identify the Coordinates of Point P
The coordinates of point \( P \) are given as \( (3, 4, 5) \). Here, \( x = 3 \), \( y = 4 \), and \( z = 5 \).

### 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 the same as point \( P \) but set the \( z \)-coordinate to 0 (because it lies on the XY-plane).

Thus, the coordinates of point \( L \) will be:
\[ L = (x, y, 0) = (3, 4, 0) \]

### Conclusion
The coordinates of point \( L \) are \( (3, 4, 0) \).

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