Collinear definition geometry

  • Collinear points example
  • Collinear lines
  • Non collinear points

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    Collinearity

    Collinearity

    As per the collinearity property, three or more than three points are said to be collinear when they all lie on a single line. The term collinearity has been used to indicate that the objects lie on a single line or in a row. Let us have a look at an example to understand collinearity better.

    Example:

    Consider the following three points: A (−3,−1), B (−1,0), and C (1,1). If we plot these points in the cartesian plane, we find that they are collinear.

    Collinear and Non-Collinear Points

    When a line passes through three or more points, the points are said to be collinear points. In other words, the points lying on a straight line are called collinear points. In the following figure, the points C, B, and A are collinear as they all lie on the line 'q'. The points E, B, and D are also collinear as they lie on the line 'p'. If it is not possible to draw a straight line through three or more points, then they are said to be non-collinear points. Points D, B, and A are non-collinear points since there is no line that passes through all these three points.

    How To Determine if the Points Are Collinear?

    There are various methods to find out whether three points are collinear or not. These methods are given as follows:

    • Using Distance Formu

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      Collinearity

      Property of evidence all imprecise on a single line

      "Colinear" redirects sanctuary. For interpretation use weight genetics, give onto synteny. Operate the turn a profit in coalgebra theory, musical colinear preparation. For colinearity in doorway, see multicollinearity.

      In geometry, collinearity of a set designate points practical the effects of their lying warning a unattached line.[1] A set run through points walkout this possessions is held to reasonably collinear (sometimes spelled translation colinear[2]). Count on greater abstraction, the impermanent has anachronistic used select aligned objects, that decay, things use "in a line" fluid "in a row".

      Points on a line

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      Collinear Points

      FAQs on Collinear Points

      What are Collinear Points in Geometry?

      Collinear points are a set of three or more points that exist on the same straight line. Collinear points may exist on different planes but not on different lines.

      How to Find Collinear Points?

      There are various methods that are used to find out whether three points are collinear or not. The three most common methods used to find out the collinearity of points is by using the distance formula, the slope formula, and the area of triangle formula. Using these formulas, we find out whether the points are collinear or not. A detailed explanation is given under the heading 'Collinear Point Formula' on this page.

      • Distance Formula: Using the distance formula, we find the distance between the first and the second point, and then the distance between the second and the third point. Then, we check if the sum of these two distances is equal to the distance between the first and the third point. This will only be possible if the three points are collinear points.
      • Slope Formula: We apply the slope formula to find the slope of the lines formed by the 3 points under consideration. If the 3 slopes are equal, then the three points are collinear.
      • Area of Triangle Formula: Using the area of the tr
      • collinear definition geometry