If L is the foot of the perpendicular from Q(-3, 6, 7)
on the XY-plane, Then the coordinates of the point L is

Options

A. `(3, 6,, 7)`
B. (-3, 6, 0)
C. (6, 7, 0)
D. (-3, 0, 7)

Answer

To find the coordinates of the point L, which is the foot of the perpendicular from the point Q(-3, 6, 7) onto the XY-plane, we can follow these steps:

### Step 1: Understand the coordinates of the point Q
The point Q is given as Q(-3, 6, 7). This means:
- The x-coordinate is -3
- The y-coordinate is 6
- The z-coordinate is 7

### Step 2: Identify the characteristics of the XY-plane
In three-dimensional geometry, the XY-plane is defined by the equation z = 0. This means that for any point on the XY-plane, the z-coordinate must be zero.

### Step 3: Determine the coordinates of point L
Since point L is the foot of the perpendicular from point Q onto the XY-plane, the x and y coordinates of point L will be the same as those of point Q. However, the z-coordinate of point L will be set to 0 (as it lies on the XY-plane).

Thus, the coordinates of point L will be:
- x-coordinate: -3 (same as Q)
- y-coordinate: 6 (same as Q)
- z-coordinate: 0 (since it lies on the XY-plane)

Therefore, the coordinates of point L are:
L(-3, 6, 0)

### Final Answer
The coordinates of the point L are (-3, 6, 0).

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