(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find all unit vectors in R^{4}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)

2. Relevant equations

u.v=|u||v|cos[itex]\Theta[/itex]

3. 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 w^{2}-wx-x^{2}=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?

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# Homework Help: Find vectors making a certain angle with given vectors

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