Finding the coordinates of the point Q, symmetrical from the point P (2,1,3) in relation to the plane 4x -3y + z +18 = 0
Answer:
(-6,7,1)
1. Calculate the equation of a line l through P perpendicular to the given plane
2. Let M denote the intersection point between l and the given plane:
and therefore
3. M is the midpoint of . Let denote the reflection point of P with respect to E. Then you know by the formula calculating the midpoint between 2 points:
Solve these equations for . You'll get