Example 18 - Find vector equations of plane passing through - Examples

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  1. Chapter 11 Class 12 Three Dimensional Geometry
  2. Concept wise
  3. Equation of plane - Passing Through 3 Non Collinear Points


Transcript

Example 18 (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

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