How to Find \vec{b} in a Cross Product Problem?

[FrankJ777]

I have a question about solving a problem involving a cross product. I understand how to find \vec{a} X \vec{b} = \vec{c}, but if \vec{a} and \vec{c} are given how do I find \vec{b}? Is there something I can do analogous to c/a =b? I've been reviewing my old calc III and linear algebra notes, but I havn't been able to figure it out. Any help would be most appreciated.

Thanks

 

[Ben Niehoff]

Given a and c, there are several possible vectors b such that a x b = c. They all lie in the plane perpendicular to c.

 

[sutupidmath]

do you know how to find a vector that is perpendicular to another vector?

 

[chota]

a x c = b

since b is a vector that is perpendicular to both a and c .. :-D