Q 11-03-118JEE MainJEE Main 2022 (26 Jul, Shift 2)Easy
If $\vec A = (2\hat i + 3\hat j - \hat k)\ \text{m}$ and $\vec B = (\hat i + 2\hat j + 2\hat k)\ \text{m}$, the magnitude of the component of vector $\vec A$ along vector $\vec B$ will be ______ m.
Numerical value type. Enter your answer.
Answer: 2
$$A_B = \frac{\vec A\cdot\vec B}{|\vec B|} = \frac{2 + 6 - 2}{\sqrt{1 + 4 + 4}} = \frac63 = 2\ \text{m}$$
Solution by Sreeraj P, M.Sc Physics