Answer
$2y-z=2$
Work Step by Step
Formula to calculate the vector equation is:$\nabla f(r_0) \cdot (r-r_0)=0$
As we know that the equation of tangent for $\nabla f( 0,1,0)=\lt 0,2,-1 \gt$ is given by
$0+2(y-1)-1(z-0)=0$
and $2y-2-z=0$
Thus, $2y-z=2$
