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Black Book Advanced Problems in MathematicsMathematicsDeterminants

If vmatrix a & a^2 & 1+a^3 b & b^2 & 1+b^3 c & c^2 & 1+c^3 vmatrix = 0 and vectors (1, a, a^2), (1, b, b^2) and (1, c, c^2) are non-coplanar, then the product abc equals:

Options

  1. A2
  2. B-1
  3. C1
  4. D0

Correct answer

B. -1

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