Question

Find an equation of the plane consisting of all points that are equidistant from and.

A) Parallel plane
B) Perpendicular plane
C) Bisecting plane
D) Infinite plane

Answer 1

The equation of the plane consists of all points that are equidistant from two given points can be found by taking the average of the coordinates of the two points.

Step-by-step explanation:

The equation of the plane consisting of all points that are equidistant from two given points can be found by taking the average of the coordinates of the two points. Let's call the two points (x1, y1, z1) and (x2, y2, z2). The equation of the plane would be:

(x + x1)/2 = (x + x2)/2

(y + y1)/2 = (y + y2)/2

(z + z1)/2 = (z + z2)/2