Find the values `p` so that line `(1-x)/3=(7y-14)/(2p)=(z-3)/2a n d(7-7x)/(3p)=(y-5)/1=(6-z)/5` are at right angles.

Explanation

To find the values of \( p \) such that the given lines are at right angles, we will follow these steps:

### Step 1: Identify the direction ratios of the lines

The first line is given by the equations:
\[ \frac{1-x}{3} = \frac{7y-14}{2p} = \frac{z-3}{2} \]
...