Example, 3
Last updated at May 29, 2018 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
Chapter 11 Class 12 Three Dimensional Geometry
Example, 3
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Class 12
Important Question for exams Class 12
- Chapter 1 Class 12 Relation and Functions
- Chapter 2 Class 12 Inverse Trigonometric Functions
- Chapter 3 Class 12 Matrices
- Chapter 4 Class 12 Determinants
- Chapter 5 Class 12 Continuity and Differentiability
- Chapter 6 Class 12 Application of Derivatives
- Chapter 7 Class 12 Integrals
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- Chapter 9 Class 12 Differential Equations
- Chapter 10 Class 12 Vector Algebra
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About the Author
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.