Two vectors $\overrightarrow A $ and $\overrightarrow B $ have equal magnitudes. If magnitude of $\overrightarrow A $ + $\overrightarrow B $ is equal to two times the magnitude of $\overrightarrow A $ $-$ $\overrightarrow B $, then the angle between $\overrightarrow A $ and $\overrightarrow B $ will be :

Question

${\sin ^{ - 1}}\left( {{3 \over 5}} \right)$

${\sin ^{ - 1}}\left( {{1 \over 3}} \right)$

${\cos ^{ - 1}}\left( {{3 \over 5}} \right)$

${\cos ^{ - 1}}\left( {{1 \over 3}} \right)$

Solution

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