If a line makes angle `"alpha","beta\ and\ gamma"` with the coordinate axes, find the value of `"cos"2"alpha"+"cos"2"beta"+"cos"2"gamma"dot`

Explanation

To solve the problem, we need to find the value of \( \cos^2 \alpha + \cos^2 \beta + \cos^2 \gamma \) where \( \alpha, \beta, \gamma \) are the angles that a line makes with the coordinate axes.

### Step-by-Step Solution:

1. **Understanding Direction Cosines**:
The direction cosines of a line making angles \( \alpha, \beta, \gamma \) with the x, y, and z axes respectively are given by:
\[
l = \cos \alpha, \quad m = \cos \beta, \quad n = \cos \gamma
...