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The area of the parallelogram formed by \( 3\mathbf{a}_x \) and \( 4\mathbf{a}_y \) is

  • A.7
  • B.24
  • C.12
  • D.5

Answer: C

The magnitude of the cross product is the area, and for perpendicular vectors it is simply the product of the magnitudes. Halving it would give the area of the triangle the two vectors span, which is a related standard result.

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