Vector `vec(A)` makes equal angles with x-,y-,and z-axis. Find the value of its components (in terms of magnitude of `vec(A)`)

Explanation

To solve the problem, we need to find the components of vector \(\vec{A}\) that makes equal angles with the x-, y-, and z-axes. Let's denote the angle that \(\vec{A}\) makes with each axis as \(\alpha\), \(\beta\), and \(\gamma\). Since the vector makes equal angles with all three axes, we have:

\[ \alpha = \beta = \gamma \]

### Step 1: Use the Cosine Rule
According to the cosine rule for vectors, we have:
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