The magnitudes of vectors and are and respectively

MATHEMATICS · Subjective · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

The magnitudes of vectors

\mathbf{a}

and

\mathbf{b}

are

4

and

7

respectively, and the angle between them is

60^{\circ}

. Calculate

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