If `alpha,beta,a n dgamma` are the an gles which a directed line makes with the positive directions of the co-ordinates axes, then find the value of `sin^2alpha+sin^2beta+sin^2gammadot`

Explanation

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

### Step-by-Step Solution:

1. **Understanding Directional Ratios**:
The directional cosines of a line are defined as:
\[
l = \cos \alpha, \quad m = \cos \beta, \quad n = \cos \gamma
...