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The answer depends on the information that you have about the four points and the manner in which that information is presented.
Suppose the 4 points are A, B, C and D and the point that you find is P.
If you have the coordinates of A, B, C and D then
gradient AP = gradient AB (or any other pair) will suffice.
If you have any one of vectors AB (or AC, AD, BC, BD), then
vector AP is parallel to vector AB will suffice.
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How many planes can be determined if the point noncollinear?
The answer depends on the number of point. One point - as the question states - cannot be non-collinear. Any two points are always collinear. But three or more points will define a plane. If four points are non-coplanar, they will define four planes (as in a tetrahedron).
What is different of collinear point from non collinear point and coplanar point from non coplanar point?
Three or more points are collinear if they are all in the same straight line. They are non collinear if at least one of them is not on the same line as the rest. Four or more points are coplanar if they are all in the same plane. They are non coplanar if at least one of them is not on the same plane as the rest.
How many planes can be formed with four non collinear points?
Four non-collinear points can form exactly one plane. This is because a plane is defined by three non-collinear points, and adding a fourth point that is not in the same line as the other three does not create a new plane; rather, it remains within the same plane defined by the initial three points. Therefore, all four points lie in the same unique plane.
If four points are coplanar then they are also collinear?
not necassarily
How do you draw four noncollinear points?
-- The four corners of a square are non-collinear. -- The four corners of a rectangle are non-collinear. -- The four vertices of any rhombus, parallelogram, or quadrilateral are non-collinear. -- Any four vertices of any polygon with more than 3 sides are non-collinear. -- The three vertices of any triangle are non-collinear, and they stay that way when you add any other point on the same piece of paper. -- Any four points on any circle, ellipse, parabola, or hyperbola are non-collinear. -- If at least one point is on a different floor of the house from the other three, then the four points are non-collinear. -- Make three dots on a piece of paper. Cover them up. Walk away for a few minutes. Come back. Make another dot on the paper. Uncover the first three. We're almost positive that the four dots are non-collinear.
