Start Searching the Answers
The Internet has many places to ask questions about anything imaginable and find past answers on almost everything.
The Question & Answer (Q&A) Knowledge Managenet
The Internet has many places to ask questions about anything imaginable and find past answers on almost everything.
Three non
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.
Postulate 2.2 states that through any three noncollinear points, there is exactly one plane.
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.
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.
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.
four different planes
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.
three
3 vectors
Three
three points