Name the plane in which (0, 6, 8) lies.

Answer

To determine the plane in which the point (0, 6, 8) lies, we can follow these steps:

### Step 1: Identify the coordinates of the point.
The given point is (0, 6, 8). Here, the coordinates are:
- x = 0
- y = 6
- z = 8

### Step 2: Understand the characteristics of the three main coordinate planes.
There are three primary coordinate planes in three-dimensional geometry:
1. **XY-plane**: This plane is characterized by z = 0. Points on this plane have their z-coordinate equal to zero.
2. **XZ-plane**: This plane is characterized by y = 0. Points on this plane have their y-coordinate equal to zero.
3. **YZ-plane**: This plane is characterized by x = 0. Points on this plane have their x-coordinate equal to zero.

### Step 3: Analyze the coordinates of the given point.
In the point (0, 6, 8):
- The x-coordinate is 0.
- The y-coordinate is 6 (not zero).
- The z-coordinate is 8 (not zero).

### Step 4: Determine which plane the point lies in.
Since the x-coordinate is 0, this indicates that the point lies in the YZ-plane. In the YZ-plane, the x-coordinate is always zero, while the y and z coordinates can take any value.

### Conclusion:
The point (0, 6, 8) lies in the **YZ-plane**.

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