Let vectors A =(2,1,−4), B=(−3,0,1), and C =(−1,−1,2).
Calculate the following:
A) A⋅B =
B)What is the angle θAB between A and B ?
C) 2B⋅3C=
D)2(B⋅3C ) =
E)Which of the following can be computed?
a) A ⋅B ⋅C
b) A ⋅(B ⋅C )
c) A ⋅(B +C)
d) 3⋅A
F) Express your answer in terms of V1: V1⋅V1 =
G)If V1 and V2 are perpendicular,
H) If V1 and V2 are parallel,
Express your answer in terms of V1 and V2.