Example, 3
Last updated at March 11, 2017 by Teachoo
Transcript
Example, 3 Find the direction cosines of the line passing through the two points (– 2, 4, – 5) and (1, 2, 3). P ( −2, 4, − 5) Q (1, 2, 3) So, x1 = −2, y1 = 4 , z1 = −5 & x2 = 1, y2 = 2 , z2 = 3 Direction ratios = (x2 – x1), (y2 − y1), (z2 − z1) = 1 − (−2) , 2 − 4 , 3 − (−5) = 1 + 2, − 2, 3 + 5 = 3, −2, 8 Direction cosines = 3 32 + −22 + 82 , −2 32 + −22 + 82 , 8 32 + −22 + 82 = 3 9 + 4 + 64 , −2 9 + 4 + 64 , 8 9 + 4 + 64 = 𝟑 𝟕𝟕 , −𝟐 𝟕𝟕 , 𝟖 𝟕𝟕
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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.