Explain in not more than two sentences why the area of a parallelogram whose adjacent…

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

Problem

Explain in not more than two sentences why the area of a parallelogram whose adjacent sides are represented by vectors

\mathbf{a}

and

\mathbf{b}

equals the magnitude of their vector product

\mathbf{a}\times\mathbf{b}