- #1
DanielFaraday
- 87
- 0
Homework Statement
True/False:
The set of vectors [tex]B={(-1,-1,1,1),(1,0,0,0),(0,1,0,0),(-1,-1,1,-1)}[/tex] is an orthonormal basis for Euclidean 4-space [tex]\mathbb{R}^4[/tex].
Homework Equations
None
The Attempt at a Solution
I said false because [tex]\langle (-1,-1,1,1),(-1,-1,1,1) \rangle =2\ne1[/tex], which shows that at least one vector in this set is not a unit vector.
However, I'm not sure if I'm supposed to use the usual definition for the inner product. Is this implied by the word "Euclidean"?