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)

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- Jun 24th 2008, 06:34 PMApprentice123Point symmetrical
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) - Jun 24th 2008, 11:37 PMearboth
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 - Jun 25th 2008, 06:35 AMApprentice123
Thank you