If A ( 3 , 1 , − 1 ) , B ( 3 5 , 3 7 , 3 1 ) , C ( 2 , 2 , 1 ) and D ( 3 10 , 3 2 , 3 − 1 ) are the vertices of a quadrilateral A BC D , then its area is

Question

If A ( 3 , 1 , − 1 ) , B ( 3 5 ​ , 3 7 ​ , 3 1 ​ ) , C ( 2 , 2 , 1 ) and D ( 3 10 ​ , 3 2 ​ , 3 − 1 ​ ) are the vertices of a quadrilateral A BC D , then its area is

TestHub · Accepted Answer

Area = 2 1 ​ ∣ BD × AC ∣ ​ BD = 3 5 ​ i ^ − 3 5 ​ j ^ ​ − 3 2 ​ k ^ AC = i ^ − j ^ ​ − 2 k ^ ​

Mathematics - Straight Lines Question with Solution | TestHub

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