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Question

Mathematics Question on Vectors

Let a b, and c be three non-zero non-coplanar vectors. Let the position vectors of four points A, B, C and D be ab+ca-b+c, λa3b+4cλa-3b+4c, a+2b3c-a+2b-3c and 2a4b+6c2a-4b+6c respectively. If AB AC , and AD are coplanar, then λ is equal to ____.

Answer

The correct answer is 2