Write the set of vectors that are orthogonal to v as a linear combination of two unit vectors.

$v=\u27e81,-\sqrt{8},-\sqrt{8}\u27e9\text{is a vector.}$ is a vector.

I know I have to find two unit vectors u and w so that any vector that is orthogonal to v can be expressed as a linear combination of u and w.

Help, please.

$v=\u27e81,-\sqrt{8},-\sqrt{8}\u27e9\text{is a vector.}$ is a vector.

I know I have to find two unit vectors u and w so that any vector that is orthogonal to v can be expressed as a linear combination of u and w.

Help, please.