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.