If a line makes angles `alpha,beta,gamma` with the positive direction of coordinate axes, then write the value of `sin^2alpha+sin^2beta+sin^2gammadot`

Explanation

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

### Step-by-Step Solution:

1. **Understanding Direction Cosines**:
The direction cosines of a line making angles \( \alpha, \beta, \gamma \) with the positive axes are given by:
\[
\cos \alpha, \cos \beta, \cos \gamma
...