The angle between `A` the resultant of `(A+B)` and `(A-B)` will be

Options

A. `0^(@)`
B. `tan^(-1)(A/B)`
C. `tan^(-1)(B/A)`
D. `tan^(-1)((A-B)/(A+B))`

Explanation

To find the angle between vector \( \mathbf{A} \) and the resultant of \( (\mathbf{A} + \mathbf{B}) \) and \( (\mathbf{A} - \mathbf{B}) \), follow these steps:

1. **Calculate the resultant vector:**
\[ \text{Resultant} = (\mathbf{A} + \mathbf{B}) + (\mathbf{A} - \mathbf{B}) \]

2. **Simplify the resultant vector:**
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