Find a vector of magnitude $5$ units, and parallel to the resultant of the vectors $\overrightarrow a = 2\hat i + 3 \hat j - \hat k$ and $\overrightarrow b = \hat i - 2\hat j + \hat k$

Question

$\begin{array}{1 1} (A) \large\frac{3\sqrt {10}}{2}\hat i-\large\frac{3\sqrt{10}}{2}\hat j \\ (B) \large\frac{3\sqrt {10}}{2}\hat i+\large\frac{3\sqrt{10}}{2}\hat j \\ (C) \large\frac{-3\sqrt {10}}{2}\hat i-\large\frac{3\sqrt{10}}{2}\hat j \\ (D) \large\frac{-3\sqrt {10}}{2}\hat i+\large\frac{3\sqrt{10}}{2}\hat j \end{array} $

Comments

WRONG ANSWER