The plane $B$ in $\mathbb{R}^3$ is passing through points $(1,0,0), (0,1,0), (0,0,-1)$. Determine the unit vectors which are perpendicular/orthogonal to the plane $B$.
This is one of problem given by my teacher before. Only this I can't solve. Recalling that two vectors are said to be orthogonal if their dot products is zero. Yes, this is easy to apply to most problem I encounter, but how can I apply to this one? Do you have some nice idea?