If $\overrightarrow A $ and $\overrightarrow B $ are two vectors satisfying the relation $\overrightarrow A $ . $\overrightarrow B $ = $\left| {\overrightarrow A \times \overrightarrow B } \right|$. Then the value of $\left| {\overrightarrow A - \overrightarrow B } \right|$ will be :

Question

$\sqrt {{A^2} + {B^2} + \sqrt 2 AB} $

$\sqrt {{A^2} + {B^2}} $

$\sqrt {{A^2} + {B^2} - \sqrt 2 AB} $

$\sqrt {{A^2} + {B^2} + 2AB} $

Solution

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