Find the co ordinates of the feet of perpendiuclars from the point (a,b,c) on the co ordinate axes

Answer

To find the coordinates of the feet of the perpendiculars from the point (a, b, c) on the coordinate axes, we will follow these steps:

### Step 1: Understand the Coordinates in 3D
In a three-dimensional space, a point is represented by its coordinates (x, y, z). The given point is (a, b, c), where:
- 'a' is the x-coordinate,
- 'b' is the y-coordinate,
- 'c' is the z-coordinate.

### Step 2: Feet of Perpendicular on the X-axis
The foot of the perpendicular from the point (a, b, c) to the x-axis is found by setting the y and z coordinates to zero. Thus, the coordinates of the foot of the perpendicular on the x-axis are:
- (a, 0, 0)

### Step 3: Feet of Perpendicular on the Y-axis
Similarly, the foot of the perpendicular from the point (a, b, c) to the y-axis is found by setting the x and z coordinates to zero. Therefore, the coordinates of the foot of the perpendicular on the y-axis are:
- (0, b, 0)

### Step 4: Feet of Perpendicular on the Z-axis
Finally, the foot of the perpendicular from the point (a, b, c) to the z-axis is found by setting the x and y coordinates to zero. Thus, the coordinates of the foot of the perpendicular on the z-axis are:
- (0, 0, c)

### Conclusion
The coordinates of the feet of the perpendiculars from the point (a, b, c) on the coordinate axes are:
- On the x-axis: (a, 0, 0)
- On the y-axis: (0, b, 0)
- On the z-axis: (0, 0, c)