I need to find the equation of the line that intersects perpendicularly the line: $$ \frac{x+1}{2}=-y=\frac{z-2}{3} $$ and passes through : $(2,3,1)$.
So I know that the line should be of the form: $$ (2,3,1)+t (\ell , m ,n) $$ where: $(\ell , m ,n) \cdot (2,-1,3)=0 $ but this gives me only one constraint on my parameters . How can I find all three of them?
Thanks in advance !