I'm facing problems while trying to solve this problem
we have u and v and we need to find b that satisfies the following equation:
u x b = v
I've tried to solve it and i got only one coordinates for B and it we should get infinity number of vectors satisfies this equation up there
You certainly can do that. In particular, If you multiply the last equation by 2 and subtract it from the first equation, you get . From the second equation, so which is true for all x. Taking gives and , exactly what you give above.