Teaching MPPSC Assistant Professor Mock Test Series 2025 Physical Sciences Mathematical Methods of Physics
Let \( \vec{a} = 2\hat{i} + 3\hat{j} + \hat{k} \ \ \text{and} \ \ \vec{b} = \hat{i} - \hat{j} + 2\hat{k}\). Find the angle θ between vectors \(\vec{a} \ \) onto vector \(\vec{b} \ \) .
1
\(\theta = 45^\circ \ \)
2
\(\theta = 60^\circ \ \)
3
\(\theta = \cos^{-1}\left(\frac{5}{6}\right) \ \)
4
\(\theta = \cos^{-1} \left( \frac{1}{2 \sqrt{21}}\right) \)