collinear


Definition of Collinear

  • Three or more points that lie on the same straight line are called to be Collinear.

More about Collinear

  • Three points (xi , yi , zi), where i = 1, 2, 3, are collinear if x2 - x1 : y2 - y1 : z2 - z1 = x3 - x1 : y3 - y1 : z3- z1.

Example of Collinear

  • In the above diagram, the points P, Q, and R are collinear.

Solved Example on Collinear

Determine the points that are collinear in the following diagram.



Choices:
A. A, B, F
B. A, B, C, D
C. A, B, C, D, E, F, G
D. E, F, G
Correct Answer: B
Solution:
Step 1: Three or more points that lie on the same straight line are called collinear.
Step 2: In the above diagram, points A, B, C, D lie on the same straight line.
Step 3: So, the points A, B, C, D are collinear.

Related Terms for Collinear

  • Line
  • Point
  • Straight line