Example, 7
Last updated at Dec. 8, 2016 by Teachoo
Transcript
Example, 7 Find the vector equation for the line passing through the points (–1, 0, 2) and (3, 4, 6). Vector equation Vector equation of a line passing though two points with position vectors 𝑎 and 𝑏 is 𝑟 = 𝑎 + 𝜆 ( 𝑏 − 𝑎) Given, Let two points be A (–1, 0, 2) & B(3, 4, 6) So, 𝑟 = ( − 𝑖 + 0 𝑗 + 2 𝑘) + 𝜆 3 𝑖+4𝑗+6 𝑘 − (− 𝑖 + 0 𝑗 + 2 𝑘) = – 𝑖 + 0 𝑗 + 2 𝑘 + 𝜆 3 𝑖 + 4𝑗 + 6 𝑘 + 𝑖 − 0 𝑗 − 2 𝑘 = − 𝑖 + 0 𝑗 + 2 𝑘 + 𝜆 3 + 1 𝑖 + 4 − 0 𝑗 + (6 − 2) 𝑘 = − 𝑖 + 0 𝑗 + 2 𝑘 + 𝜆 4 𝑖 + 4 𝑗 + 4 𝑘 = − 𝒊 + 2 𝒌 + 𝜆 𝟒 𝒊 + 𝟒 𝒋 + 𝟒 𝒌 Therefore, the vector equation is − 𝑖 + 2 𝑘 + 𝜆 4 𝑖 + 4 𝑗 + 4 𝑘
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Chapter 11 Class 12 Three Dimensional Geometry
Serial order wise
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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/.