If a = 2 i + j + 3 k , b = 3 i + 3 j + k and c = c_ 1 i + c_ 2 j + c_ 3 k are coplanar vectors, a c = 5, b c then 122(c_ 1 + c_ 2 + c_ 3 ) is equal to _____

JEE Main 2022 Mathematics question

If , and are coplanar vectors, , then is equal to

Answer: 150

gives , and gives . Coplanarity gives |2 1 3; 3 3 1; $ | = -

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Question ID VK-034979