Question

The image of the point (1 3 4) in the plane 2x − y + z + 3 = 0 is

• A. (3 -2 1)
• B. (-3 5 2)
• C. (3 2 5)
• D. (5 1 6)

Hint:

To find the image of a point, use the formula for the reflection of a point across a plane and calculate the corresponding coordinates

Answer 1

The Correct Option is B

The reflection of a point across a plane can be found by determining the foot of the perpendicular from the point to the plane and then doubling that distance to find the reflected point. The correct image point is (−3, 5, 2).