Example, 5
Last updated at Dec. 8, 2016 by Teachoo
Transcript
Example, 5 Show that the points A (2, 3, – 4), B (1, – 2, 3) and C (3, 8, – 11) are collinear. Three points A, B, C are collinear if direction ratios of AB and BC are proportional. Now, 𝑎2𝑎1 = 2 − 1 = –2 𝑏2𝑏1 = 10 − 5 = –2 𝑐2𝑐1 = − 147 = –2 Since, 𝒂𝟐𝒂𝟏 = 𝒃𝟐𝒃𝟏 = 𝒄𝟐𝒄𝟏 = −2 Therefore, A, B and C are collinear.
Examples
Example 1
Example, 2
Example, 3 Important
Example, 4
Example, 5 You are here
Example, 6 Important
Example, 7
Example 8
Example, 9 Important
Example 10
Example 11
Example 12 Important
Example 13
Example 14
Example 15
Example 16
Example 17
Example 18
Example 19
Example 20 Important
Example 21 Important
Example 22
Example 23 Important
Example 24 Important
Example, 25 Important
Example 26
Example 27 Important
Example 28
Example 29 Important
Example 30 Important
Chapter 11 Class 12 Three Dimensional Geometry
Serial order wise
About the Author
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/.