Consider points A, B, C and D with position vectors 7 i ^ − 4 j ^ + 7 k ^ , i ^ − 6 j ^ + 10 k ^ , − i ^ − 3 j ^ + 4 k ^ and 5 i ^ − j ^ + 5 k ^ respectively. Then ABCD is a

Question

Consider points A, B, C and D with position vectors 7 i ^ − 4 j ^ ​ + 7 k ^ , i ^ − 6 j ^ ​ + 10 k ^ , − i ^ − 3 j ^ ​ + 4 k ^ and 5 i ^ − j ^ ​ + 5 k ^ respectively. Then ABCD is a

TestHub · Accepted Answer

No option satisfied wrong. A = ( 7 , − 4 , 7 ) , B = ( 1 , − 6 , 10 ) , C = ( − 1 , − 3 , 4 ) and D = ( 5 , − 1 , 5 ) A B = ( 7 − 1 ) 2 + ( − 4 + 6 ) 2 + ( 7 − 10 ) 2 ​ = 36 + 4 + 9 ​ = 7 Similarly BC = 7 , CD = 41 ​ , DA = 17 ​

Mathematics - Vector Question with Solution | TestHub

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