Infinite number of perpendicular vectors?

[Maybe_Memorie]

Homework Statement

Let A and B be vectors
A = (2,-1,3) B = (1,4,1)
a) Find unit vectors A' and B' parallel to A and B respectively. Done.

b) Construct all the unit vectors C, orthogonal to A' and B'. Done.

c) Construct a unit vector, D, such that
C.D = 0.


Isn't there an infinite number of vectors that meet this criteria?

 

[rock.freak667]

b) Construct all the unit vectors C, orthogonal to A' and B'. Done.

c) Construct a unit vector, D, such that
C.D = 0.


Isn't there an infinite number of vectors that meet this criteria?

Well I think they just want you to find one, which you can do since you did part b already.