Find and , if and…

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

Problem

6. Find

|\vec{a}|

and

|\vec{b}|

, if

(\vec{a}+\vec{b}) \cdot(\vec{a}-\vec{b})=8

and

|\vec{a}|=8|\vec{b}|