Find the angle between two vectors ` vec a`and ` vec b`with magnitudes `sqrt(3)`and 2 respectively having ` vec a. vec b=sqrt(6)`

Explanation

To find the angle between two vectors \( \vec{a} \) and \( \vec{b} \) with given magnitudes and dot product, we can follow these steps:

### Step 1: Write down the formula for the dot product
The dot product of two vectors \( \vec{a} \) and \( \vec{b} \) can be expressed as:
\[ \vec{a} \cdot \vec{b} = |\vec{a}| |\vec{b}| \cos \theta \]
where \( |\vec{a}| \) and \( |\vec{b}| \) are the magnitudes of the vectors, and \( \theta \) is the angle between them.
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