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 step by step, we will find the value of \( \sin^2 \alpha + \sin^2 \beta + \sin^2 \gamma \).

### Step 1: Understand the relationship between direction cosines and angles
The angles \( \alpha, \beta, \gamma \) are the angles made by a line with the positive x, y, and z axes, respectively. The direction cosines of the line are given by:
\[ \cos \alpha, \cos \beta, \cos \gamma \]

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