![]() Yes, we can consider collinear points to be coplanar as well. Can Collinear Points be Coplanar As Well? This property of the points is called coplanarity. On the other hand, three or more points are considered to be coplanar if they all lie in the same plane. This property of the points is called collinearity. In geometry, three or more points are considered to be collinear if they all lie on a single straight line. What is the Difference Between Collinearity and Coplanarity? If both of these statements are true then the points can be considered as collinear. We, then, need to establish that they have a common direction (that is, equal gradients) and a common point (for example, Q). If you want to show that three points are collinear, choose two line segments, for example, PQ and QR. How Do You Prove Collinearity?Īs per the Euclidean geometry, a set of points are considered to be collinear, if they all lie in the same line, irrespective of whether they are far apart, close together, form a ray, a line, or a line segment. For example, if three points A (a 1, b 1), B (a 2, b 2) and C (a 3, b 3) are collinear, then = 0. After substituting the coordinates of the given points in the formula, if the value is equal to zero, then the given points will be collinear. Another formula that proves three points to be collinear is the area of a triangle formula. If P, Q, and R are three collinear points, then, PQ + QR = PR.
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