Find a vector of magnitude 8 units in the direction of the vector `(5hati - hatj + 2hatk)`.

Explanation

To find a vector of magnitude 8 units in the direction of the vector \( \mathbf{a} = 5\hat{i} - \hat{j} + 2\hat{k} \), we can follow these steps:

### Step 1: Calculate the magnitude of the vector \( \mathbf{a} \).

The magnitude \( |\mathbf{a}| \) is calculated using the formula:

\[
|\mathbf{a}| = \sqrt{(5)^2 + (-1)^2 + (2)^2}
...