JEE Physics Practice Question

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 :

1. A.$$\sqrt {{A^2} + {B^2} + \sqrt 2 AB} $$
2. B.$$\sqrt {{A^2} + {B^2}} $$
3. C.$$\sqrt {{A^2} + {B^2} - \sqrt 2 AB} $$
4. D.$$\sqrt {{A^2} + {B^2} + 2AB} $$