If [2 p-3 r q s]+[3 p+2 q r s]=m[ p r s]+n[ q r s]+t[ p q s], then the values of m, n, t respectively are ....

MHT CET 2025 Mathematics question

If , then the values of m, n, t respectively are ....

(A)2, 3, 3
(B)3, 4, 5
(C)1, 2, 3
(D)3, 5, 2Correct

Answer: (D)

Solution

The scalar triple product is linear in each slot and changes sign when two vectors are interchanged. First term: . Second term: \bar\bar\bar\bar\bar\bar$ r\

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Question ID VK-100757