Ex 11.3, 3 - Class 12th - Find Cartesian equation of planes - Equation of plane - In Normal Form

 


Transcript

Question 3 Find the Cartesian equation of the following planes: (a) 𝑟﷯ . ( 𝑖﷯ + 𝑗﷯ − 𝑘﷯) = 2 Putting 𝒓﷯ = x 𝒊﷯ + y 𝒋﷯ + z 𝒌﷯ in equation 𝑟﷯.( 𝑖﷯ + 𝑗﷯ − 𝑘﷯) = 2 (x 𝑖﷯ + y 𝑗﷯ + z 𝑘﷯). ( 𝑖﷯ + 𝑗﷯ − 𝑘﷯) = 2 (x × 1) + (y × 1) + (z × −1) = 2 x + y − z = 2 is the cartesian equation of the given plane.

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.