MATHEMATICS · Subjective · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices
Problem
Three vectors are given as
u=2i^−j^+3k^,v=4i^+2j^−k^,w=5i^−2j^+6k^.
Answer the following:
(a) Find the acute angle between u and v.
(b) Decide whether u and v are perpendicular, giving suitable justification.
(c) Decide whether u and w are parallel, giving suitable justification.
(d) If p=u+v, determine whether p is perpendicular to w.