In fig. 28.7 if the coordinates of point `P\ a r e\ (a , b , c)` then Write the coordinates of points A, B, C, D, E and F. Write the coordinates of the feet of the perpendiculars from the point P to the coordinate axes. Write the coordinates of the feet of the perpendicular from the point `P` on the coordinate planes `X Y ,\ Y Z\ a n d\ Z Xdot` Find the perpendicular distances of point `P` from `X Y , Y Z\ a n d\ Z X-` planes. Find the perpendicular distances of the point `P` fro the coordinate axes. Find the coordinates of the reflection of `P` are `(a , b , c)` . Therefore `O A=a ,\ O B=b\ n d\ O C=cdot`

Explanation

To solve the problem step by step, we will break down the tasks as follows:

### Step 1: Write the coordinates of points A, B, C, D, E, and F.
- **Point A** is on the X-axis, so its coordinates are \((a, 0, 0)\).
- **Point B** is on the Y-axis, so its coordinates are \((0, b, 0)\).
- **Point C** is on the Z-axis, so its coordinates are \((0, 0, c)\).
- **Point D** is at the intersection of the X and Y axes at height C, so its coordinates are \((a, b, 0)\).
- **Point E** is at the intersection of the Y and Z axes at the X height, so its coordinates are \((0, b, c)\).
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