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Question 8 - Equation of plane - Passing Through 3 Non Collinear Points - Chapter 11 Class 12 Three Dimensional Geometry
Last updated at July 14, 2026 by Teachoo
Equation of plane - Passing Through 3 Non Collinear Points
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
- Equation of plane - In Normal Form
- Equation of plane - Prependicular to Vector & Passing Through Point
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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
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Transcript
Question 8(Introduction) Find the vector equations of the plane passing through the points R(2, 5, 3), S( 2, 3, 5) and T(5, 3, 3). Vector equation of a plane passing through three points with position vectors , , is ( r ) . ( ) ( ) = 0 Example 18 Find the vector equations of the plane passing through the points R(2, 5, 3), S( 2, 3, 5) and T(5, 3, 3). Vector equation of a plane passing through three points with position vectors , , is ( r ) . ( ) ( ) = 0 Now the planes passes through the points ( ) = (5 + 3 3 ) (2 + 5 3 ) = (5 2) + (3 5) + (3 ( 3)) = 3 2 + 0 = 3 2 Vector equation is ( r ) . ( ) ( ) = 0 ( (2 + 5 3 )). 4 8 + 8 3 2 = 0
