Determine whether the points (-9, 8, 1) (10.-15, 5), (6,6.-12), and (8. -4,-3) are coplanar.

These points are not coplanar

Step-by-step explanation:

The first step in determining whether these four points are coplanar is to find three vectors from these points.

Let's call A(-9,8,1), B(10,-15,5),C(6,6,-12) an D(8,-4,-3).

From these points, we can find the following vectors:

AB = B-A = (10,-15,5)-(-9,8,1) = (19,-23,4)

AC = C-A = (6,6,-12)-(-9,8,1) = (15,-2,-13)

AD = D-A = (8,-4,-3)-(-9,8,1) = (17,-12,-4)

If the mixed product of the vectors AB, AC and AD is equal to zero, then these points are coplanar.

Since the mixed product between these points is not zero, these points are not coplanar.