Find the value of `lamda` so that the lines `(1-x)/(3)=(7y-14)/(2lamda)=(z-3)/(2)` and `(7-7x)/(3lamda)=(y-5)/(1)=(6-z)/(5) ` are at right angles.

Explanation

To find the value of \( \lambda \) such that the given lines are at right angles, we can follow these steps:

### Step 1: Write the equations in standard form
The given lines are:

1. \(\frac{1-x}{3} = \frac{7y-14}{2\lambda} = \frac{z-3}{2}\)
2. \(\frac{7-7x}{3\lambda} = \frac{y-5}{1} = \frac{6-z}{5}\)

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