Find the unit vector in the direction of the vector `veca = 2hati+2sqrt2hatj-3hatk.`

Explanation

To find the unit vector in the direction of the vector \(\vec{a} = 2\hat{i} + 2\sqrt{2}\hat{j} - 3\hat{k}\), we will follow these steps:

### Step 1: Find the Magnitude of the Vector \(\vec{a}\)

The magnitude of a vector \(\vec{a} = a_1\hat{i} + a_2\hat{j} + a_3\hat{k}\) is given by the formula:

\[
|\vec{a}| = \sqrt{a_1^2 + a_2^2 + a_3^2}
...