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Last updated at March 22, 2023 by Teachoo
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