What will be the value of `vecA. (vec(B)_(C))` if `vecA, vecB, vecC` are perpendicular to each other ?

Explanation

To solve the problem of finding the value of \( \vec{A} \cdot (\vec{B} \times \vec{C}) \) given that vectors \( \vec{A}, \vec{B}, \) and \( \vec{C} \) are mutually perpendicular, we can follow these steps:

### Step 1: Understand the properties of the vectors
Since \( \vec{A}, \vec{B}, \) and \( \vec{C} \) are perpendicular to each other, we can visualize them as being along the axes of a 3D coordinate system. For example, let:
- \( \vec{A} \) be along the x-axis,
- \( \vec{B} \) be along the y-axis,
- \( \vec{C} \) be along the z-axis.

...