Find the equations of the planes that passes through three points.
(1, 1, –1), (6, 4, –5), (–4, –2, 3)

Question

Find the equations of the planes that passes through three points. (1, 1, –1), (6, 4, –5), (–4, –2, 3)

Philoid · Accepted Answer

The given points are (1, 1, -1), (6, 4, -5), (-4, -2, 3).

Let,

= 1(12 - 10) – 1(18 - 20) -1 (-12 + 16)

= 2 + 2 – 4

= 0

Since, the value of determinant is 0.

Therefore, these points are collinear as there will be infinite planes passing through the given 3 points.

Find the equations of the planes that passes through three points.(1, 1, –1), (6, 4, –5), (–4, –2, 3)