Q 11-03-021NEETJEE MainEasy
The magnitude of the component of $\vec{A} = 3\hat{i} + 4\hat{j}$ along the direction of $\vec{B} = \hat{i} + \hat{j}$ is
Answer: (B) $\dfrac{7}{\sqrt{2}}$
$$A_B = \vec{A}\cdot\hat{B} = \frac{\vec{A}\cdot\vec{B}}{|\vec{B}|} = \frac{3 + 4}{\sqrt{2}} = \frac{7}{\sqrt{2}}$$
Solution by Sreeraj P, M.Sc Physics