Statement 1: If the points ( 1 , 2 , 2 ) , ( 2 , 1 , 2 ) and ( 2 , 2 , z ) and ( 1 , 1 , 1 ) are coplanar, then z = 2 . Statement 2: If the 4 points P , Q , R and S are coplanar, then the volume of th

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Statement 1: If the points ( 1 , 2 , 2 ) , ( 2 , 1 , 2 ) and ( 2 , 2 , z ) and ( 1 , 1 , 1 ) are coplanar, then z = 2 . Statement 2: If the 4 points P , Q , R and S are coplanar, then the volume of the tetrahedron PQRS is 0.

TestHub · Accepted Answer

Statement-1 Points (1, 2, 2), (2, 1, 2), (2, 2, z) and (1, 1, 1) are coplanar then z = 2 which is false. ​ ∵ ​ 1 1 0 ​ − 1 0 − 1 ​ 0 z − 2 − 1 ​ ​ = 0 ⇒ 1 ( z − 2 ) + 1 ( − 1 ) = 0 ⇒ z = 3 ​ Statement − 2 is the true statement.

Mathematics - Vector Question with Solution | TestHub

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