If ` vec a` and ` vec b` are two vectors such that `| vec a|=4,| vec b|=3` and ` vec a . vec b=6` . Find the angle between ` vec a` and ` vec b` .

Explanation

To find the angle between the vectors \( \vec{a} \) and \( \vec{b} \), we will use the formula for the dot product of two vectors:

\[ \vec{a} \cdot \vec{b} = |\vec{a}| |\vec{b}| \cos \theta \]

where \( |\vec{a}| \) and \( |\vec{b}| \) are the magnitudes of the vectors, and \( \theta \) is the angle between them.

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