For any two vectors $\overrightarrow A $ and $\overrightarrow B $, if $\overrightarrow A \,.\,\overrightarrow B = \,\,|\overrightarrow A \times \overrightarrow B |,$ the magnitude of $\overrightarrow C = \overrightarrow A + \overrightarrow B $ is equal to
For any two vectors $\overrightarrow A $ and $\overrightarrow B $, if $\overrightarrow A \,.\,\overrightarrow B = \,\,|\overrightarrow A \times \overrightarrow B |,$ the magnitude of $\overrightarrow C = \overrightarrow A + \overrightarrow B $ is equal to
- A
$\sqrt {{A^2} + {B^2}} $
- B
$A + B$
- C
$\sqrt {{A^2} + {B^2} + \frac{{AB}}{{\sqrt 2 }}} $
- D
$\sqrt {{A^2} + {B^2} + \sqrt 2 \times AB} $
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