state gov Karnataka Forest Guard (ಅರಣ್ಯ ರಕ್ಷಕ) Mock Test 2023 Mathematics Vector Algebra Scalar and Vector Product
If \(\rm\vec{a}+3\vec{b} = 3\hat{i}- \hat{j}\) and \(\rm2\vec{a}+\vec{b} = \hat{i}- 2\hat{j}\), then what is the angle between \(\rm\vec{a}\) and \(\rm\vec{b}\)
1
0
2
\(\frac{\pi}{6}\)
3
\(\frac{\pi}{3}\)
4
\(\frac{\pi}{2}\)