In the space of four points, no three points collinear is no four points coplanar what conditions? Is it necessary or sufficient?

In the space of four points, no three points collinear is no four points coplanar what conditions? Is it necessary or sufficient?


All wrong. It's not necessary
No three points collinear (no three points collinear) - no four points coplanar
No four points are coplanar (four points are not in the same plane) - it is concluded that "no three points are collinear"
It's just a simple logic problem. What's the point for a little girl



What are the conditions for "three points collinear" to be "four points coplanar"
Please explain why


If there are three points collinear, then the fourth point must be coplanar with the three points, because the line and a point outside the line can determine a plane. If the fourth point is on this line, then the four points collinear, also must be coplanar



What are the conditions for three points to be collinear in a space vector?
What is the condition of three points P1 (x1, Y1, z1), P2 (X2, Y2, Z2), P3 (X3, Y3, Z3) on a straight line?
Please explain in detail ~ thank you


(Z2-Z1)/(Z3-Z2)=(Y2-Y1)/(Y3-Y2)=(X2-X1)/(Y3-Y2)