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Question 3 (a) - Equation of plane - In Normal Form - Chapter 11 Class 12 Three Dimensional Geometry
Last updated at Dec. 16, 2024 by Teachoo
Chapter 11 Class 12 Three Dimensional Geometry
Concept wise
- Direction cosines and ratios
- Equation of line - given point and //vector
- Equation of line - given 2 points
- Angle between two lines - Vector
- Angle between two lines - Cartisian
- Angle between two lines - Direction ratios or cosines
- Shortest distance between two skew lines
- Shortest distance between two parallel lines
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Equation of plane - In Normal Form
- Equation of plane - Prependicular to Vector & Passing Through Point
- Equation of plane - Passing Through 3 Non Collinear Points
- Equation of plane - Intercept Form
- Equation of plane - Passing Through Intersection Of Planes
- Coplanarity of 2 lines
- Angle between two planes
- Distance of point from plane
- Angle between Line and Plane
- Equation of line under planes condition
- Point with Lines and Planes
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.
