Let and be two unit vectors such that is also a unit vector

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

Problem

Let

\mathbf{a}

and

\mathbf{b}

be two unit vectors such that

\hat{\mathbf{a}} + \hat{\mathbf{b}}

is also a unit vector. Then, find the angle between

\hat{\mathbf{a}}

and

\hat{\mathbf{b}}