Suppose

x

is a real number and define

vec(u)=[[x+1],[-x+2],[-3]]

and

vec(v)=[[-3],[x+1],[-x+2]]

.\ Show that the angle between

vec(u)

and

vec(v)

is

(2\\\\pi )/(3)

for every real number

x

.

2. Suppose x is a real number and define u=x+1x+23 and v=3x+1x+2. Show that the angle between u and v is 32 for every real number x