If `vec A.vec B= |vec A xx vec B|, find the value of angle between ` vec A and vec B`.

Explanation

To find the angle between the vectors \( \vec{A} \) and \( \vec{B} \) given the equation \( \vec{A} \cdot \vec{B} = |\vec{A} \times \vec{B}| \), we can follow these steps:

### Step 1: Understand the Dot Product and Cross Product
The dot product of two vectors \( \vec{A} \) and \( \vec{B} \) is given by:
\[ \vec{A} \cdot \vec{B} = |\vec{A}| |\vec{B}| \cos \theta \]
where \( \theta \) is the angle between the vectors.
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