Find a unit vector in the direction of ` vec a=2 hat i-\ 3 hat j+6 hat k`

Explanation

To find a unit vector in the direction of the vector \( \vec{a} = 2 \hat{i} - 3 \hat{j} + 6 \hat{k} \), we will follow these steps:

### Step 1: Calculate the modulus of the vector \( \vec{a} \)

The modulus (or magnitude) of the vector \( \vec{a} \) is given by the formula:

\[
|\vec{a}| = \sqrt{(a_x)^2 + (a_y)^2 + (a_z)^2}
...