taiwan-gsat 2022 Q17

taiwan-gsat · Other · gsat__math-a 5 marks Vector Product and Surfaces
In coordinate space, a parallelepiped has three vertices of one base at $( - 1,2,1 ) , ( - 4,1,3 ) , ( 2,0 , - 3 )$ , and one vertex of another face lies on the $xy$-plane at distance 1 from the origin. Among parallelepipeds satisfying the above conditions, the maximum volume is (17-1)(17-2).
In coordinate space, a parallelepiped has three vertices of one base at $( - 1,2,1 ) , ( - 4,1,3 ) , ( 2,0 , - 3 )$ , and one vertex of another face lies on the $xy$-plane at distance 1 from the origin. Among parallelepipeds satisfying the above conditions, the maximum volume is\\
(17-1)(17-2).