Equation of plane - Passing Through 3 Non Collinear Points
Equation of plane - Passing Through 3 Non Collinear Points
Last updated at April 16, 2024 by Teachoo
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