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Find plane of reflection given two images

If the image of I under the operation of reflection in the plane P, find the two possible Cartesian equations of P:

I=\frac {x-1}{12}=\frac {y}{-1}=\frac {z-5}{3}

I'=\frac {x-2}{8}=\frac {y}{-3}=\frac {z-5}{9}

I am thinking find a point on each line, AB, have a line through them, then AB=AN cos theta, then dot product?

(edited 11 years ago)

Reply 1

BabyMaths

Find one point in the plane (midpoint between a point on one line and the corresponding point on the other line).

Find the direction of the vector between these points. This will be your normal to the plane.

Reply 2

bbrain

Original post by BabyMaths

But joining any two points on the lines may not necessarily give you the normal vector to the plane, unless one point was a reflection of the other in the plane.