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 of finding the components of vector \( \vec{A} \) that makes equal angles with the x-, y-, and z-axes, we can follow these steps:

### Step 1: Understand the Direction Cosines
Since vector \( \vec{A} \) makes equal angles with the x-, y-, and z-axes, we denote the angles with the axes as \( \alpha \), \( \beta \), and \( \gamma \). Because the angles are equal, we can say:
\[ \alpha = \beta = \gamma = \theta \]

...