Find the value of `lambda` so that the following lines are perpendicular to each other. `(x-5)/(5lambda+2)=(2-y)/5=(1-z)/(-1), x/1=(2y+1)/(4lambda)=(1-z)/(-3)`

Explanation

To find the value of \( \lambda \) such that the given lines are perpendicular, we will follow these steps:

### Step 1: Write the equations of the lines in parametric form

The first line is given by:
\[ \frac{x - 5}{5\lambda + 2} = \frac{2 - y}{5} = \frac{1 - z}{-1} \]
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