Hi, So I have this question quot;Find all vectors x, orthogonal to the base of B, so that the volume of the parallelepiped spanned by u, v, x equals...

Hi,

So I have this question "Find all vectors x, orthogonal to the base of B, so that the volume of the parallelepiped spanned by u, v, x equals the volume of P."

with u=(1,1,2) v=(1,2,1) and w=(2,1,1). It's base has an area of root11 and a volume of 6.

I tried to go about this by taking | h(u x v) dotproduct (u x v) | = 6 with h being a variable that I solved for but that didn't work, so I have no idea how to go about doing this problem now.

Thanks