Given :Point $A(1,2,4)$ and plane $P: x-y+z+2=0$
How to find coordinates of point $A'$ the symmetric of point $A$ with respect to plane $P$
Given :Point $A(1,2,4)$ and plane $P: x-y+z+2=0$
How to find coordinates of point $A'$ the symmetric of point $A$ with respect to plane $P$
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Write down the equation of the line through $A$ and perpendicular to the plane. Solve simultaneously this line and the plane to find the point of intersection. This point is the midpoint of $A$ and its reflection in the plane.