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.
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About the Author
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.