The sum of all real values of for which the vectors a = i + j + k , b = i + j +2 k , c =2 i +3 j + k are coplanar is...

MHT CET 2026 Mathematics question

The sum of all real values of for which the vectors , , are coplanar is...

Answer: (C)

Three vectors are coplanar iff their scalar triple product is zero: . Expanding along the first row: . The discriminant of this cubic is

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Question ID VK-101076