224k views
2 votes
Find an equation for the plane consisting of all points that are equidistant from the points (s1, 0, 22d) and (s3, 4, 0d).

User Tamlok
by
8.5k points

1 Answer

5 votes

Final answer:

The equation for the plane consisting of all points that are equidistant from two given points can be found using the midpoint formula and the equation for a plane in standard form.

Step-by-step explanation:

The equation for the plane consisting of all points that are equidistant from the points (s1, 0, 22d) and (s3, 4, 0d) can be found by using the midpoint formula. Let's label the given points as A(s1, 0, 22d) and B(s3, 4, 0d). The midpoint of these two points is C. We can use the coordinates of C to form the equation for the plane. The equation for a plane in standard form is Ax + By + Cz + D = 0, where A, B, C, and D are constants. Therefore, the equation for the plane is (x + (s1 + s3)/2) + (y/2) + (22d + 0d)/2) + D = 0.

User Konstantin Kolinko
by
8.6k points