Let xyzxyzxyzΔ=|xyzx2y2z2x3y3z3|, then the value of Δ is ____________. - Mathematics

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MCQ
Fill in the Blanks

Let `Delta = abs (("x", "y", "z"),("x"^2, "y"^2, "z"^2),("x"^3, "y"^3, "z"^3)),` then the value of `Delta` is ____________.

Options

  • (x - y) (y - z) (z - x)

  • xyz

  • (x2 + y2 + z2)2

  • xyz (x - y) (y - z) (z - x)

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Solution

Let `Delta = abs (("x", "y", "z"),("x"^2, "y"^2, "z"^2),("x"^3, "y"^3, "z"^3)),` then the value of `Delta` is xyz (x - y) (y - z) (z - x).

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