Ex 11.1, 4 - Show that (2, 3, 4), (-1, -2, 1) are collinear. - Ex 11.1

Slide7.JPG

  1. Chapter 11 Class 12 Three Dimensional Geometry
  2. Serial order wise
Ask Download

Transcript

Ex 11.1, 4 Show that the points (2, 3, 4), (−1, −2, 1), (5, 8, 7) are collinear. Three points A, B, C are collinear if direction ratios of AB and BC are proportional. Now, 𝑎2﷮𝑎1﷯ = 6﷮ −3﷯ = – 2 𝑏2﷮𝑏1﷯ = 10﷮ −5﷯ = –2 𝑐2﷮𝑐1﷯ = 6﷮−3﷯ = –2 Since, 𝒂𝟐﷮𝒂𝟏﷯ = 𝒃𝟐﷮𝒃𝟏﷯ = 𝒄𝟐﷮𝒄𝟏﷯ = −2 Therefore, A, B and C are collinear.

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 7 years. He provides courses for Mathematics and Science from Class 6 to 12. You can learn personally from here https://www.teachoo.com/premium/maths-and-science-classes/.
Jail