The value of $k$ for which the image of ( $5,1,-3$ ) by reflection in $2 x+y-3 z+k=0$ is the point (

Question

The value of $k$ for which the image of ( $5,1,-3$ ) by reflection in $2 x+y-3 z+k=0$ is the point ( $1,-1,3$ ) is

Professor PC Thomas Classes · Answer

Midpoint substitution in the plane resolves $k=-6$.