Is there any method which can find the orthogonal vector of two $1$ by $5$ vector? I mean if $\vec a$ and $\vec b$ are $1$ by $5$ vectors, then how do i find a vector $c$ which $\vec c \cdot \vec a =0$ and $\vec c \cdot \vec b =0$ ?
At first, I want to use the cross product to find $\vec c$, however, the cross product can only be used in $3$ dimensions.