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

Explanation

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

### Step 1: Write down the vector
The vector is given as:
\[ \vec{a} = 3\hat{i} - 2\hat{j} + 6\hat{k} \]

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