Mathematics

Problem

The vectors

\mathbf{a}

and

\mathbf{b}

are such that

|\mathbf{a}| = 3

|\mathbf{b}| = 8

and the acute angle between

\mathbf{a}

and

\mathbf{b}

45^\circ

. Find the value of

\mathbf{a} \cdot \mathbf{b}