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## Can a plane pass through 3 Noncollinear points?

Therefore, the statement is always true. For example, plane K contains three noncollinear points. ANSWER: Always; Postulate 2.2 states that through any three non-collinear points, there is exactly one plane.

## How many unique planes can be drawn through any three noncollinear points?

Postulate 2.2 states that through any three noncollinear points, there is exactly one plane.

## Can you prove that 4 points are collinear?

Three or more points that lie on a same straight line are called collinear points. Consider a straight line L in the above Cartesian coordinate plane formed by x axis and y axis. This straight line L is passing through three points A, B and C whose coordinates are (2, 4), (4, 6) and (6, 8) respectively.

## How do you know if a set of points are collinear?

Three points are collinear if the value of the area of the triangle formed by the three points is zero. Substitute the coordinates of the given three points in the area of triangle formula. If the result for the area of the triangle is zero, then the given points are said to be collinear.

## What is the greatest number of planes determined by four non collinear points?

If there are three points which are collinear, then there will be the only plane passing through the line connecting those three points and the fourth point. Hence, the greatest number of planes determined by four noncollinear points is 4.

## How many planes are determined by 4 points?

four different planes

## What is the least number of planes determined by three points?

Three points must be noncollinear to determine a plane. Here, these three points are collinear. Notice that at least two planes are determined by these collinear points.

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