Find a vector in the direction of vector $5\hat i − \hat j + 2\hat k$ which has magnitude $8$ units.

Question

$\begin{array}{1 1}(A) \large\frac{40}{\sqrt {30}}\hat i-\large\frac{8}{\sqrt 30}\hat j+\large\frac{16}{\sqrt 30}\hat k \\ (B) \large\frac{20}{\sqrt {30}}\hat i-\large\frac{4}{\sqrt 30}\hat j+\large\frac{8}{\sqrt 30}\hat k \\ (C) \large\frac{40}{\sqrt {30}}\hat i+\large\frac{8}{\sqrt 30}\hat j-\large\frac{16}{\sqrt 30}\hat k\\(D) \large\frac{40}{\sqrt {30}}\hat i-\large\frac{8}{\sqrt 30}\hat j-\large\frac{16}{\sqrt 30}\hat k \end{array} $