- #1
LASmith
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Homework Statement
Find all unit vectors in R4 making an angle of [itex]\pi/3[/itex] with the three vectors
A=(1,1,-1,-1)
B=(1,-1,1,-1)
C=(1,-1,-1,1)
Homework Equations
u.v=|u||v|cos[itex]\Theta[/itex]
The Attempt at a Solution
using V=(w,x,y,z) as the vector we are trying to find, I solved the above equation for all three vectors A,B and C obtaining simultaneous equations to solve, however I obtained
x=y=z and w2-wx-x2=0
I am not sure how to solve this to find all unit vectors.
Also is there a method of doing this that I am unaware of?