Okay, so I was given a task that looked easy, but when given the solution...need some explanation.
"Two points, A=(2,-1,8) and B=(0,3,-6), where A is the mirror image of B in regard to the plane π. Find the equation of this plane and the coordinates of the intersection between AB and π".
My thought was: A & B must have the same distance to the plane so if I just do: 1/2 (b - a). I thought I was calculating the intersection point here, but apparently the result was -n of the plane, which make sense.
To find the intersection point the solution says = 1/2(ra + rb), (meaning location vector a plus location vector b split in 2).
How can this be correct? Makes no sense to me so I hope someone here can clear things up!