[RESOLVED] 3 variables + 3 equations... should be solvable?

[NickThissen]

Hey...

Usually I don't have any problems with this stuff but this one's got me stuck...

The question was to solve
u x x = v
for x (u and v are both known vectors)

I'm pretty sure my answer is correct but it might not be... Let's assume it is...

I made the vector x = (x, y, z).
After doing the calculation I came up with:

2z + y = 0
z + x = -1
y - 2x = 2

I know that for 3 variables, you need 3 seperate equations... So I should be able to solve this?

The problem is... I can't do it :S

I tried many things but it always ends up with something I already know!

For example:

Multiply z+x=-1 with 2 : 2z + 2x = -2

Substract it from 2z + y = 0:

2z + y = 0
2z + 2x = -2 -
-------------
y - 2x = 2 <-- And this I already knew... (it's one of the equations).


Once I ended up with 0=0 also...:
2z + y = 0 and y = 2 + 2x
2z + (2 + 2x) = 0 and z = -1 - x
-2 - 2x + 2 + 2x = 0
0 = 0 ... *Sigh*


What am I doing wrong? :S