JEE Physics Practice Question

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 :

1. A.$${\sin ^{ - 1}}\left( {{3 \over 5}} \right)$$
2. B.$${\sin ^{ - 1}}\left( {{1 \over 3}} \right)$$
3. C.$${\cos ^{ - 1}}\left( {{3 \over 5}} \right)$$
4. D.$${\cos ^{ - 1}}\left( {{1 \over 3}} \right)$$