Find the vector cross product where and .

Answer and explanation

Correct answer: D.

  1. Step 1: Compute the components of the cross product using the standard determinant expansion: .
  2. Step 2: Evaluate with and : , , and . This produces .
Answer
.
Why not the others: The vector represents (reversed cross product); the vector fails to apply the alternating negative sign to the middle coordinate; the vector adds rather than subtracts products.

Practise more Vectors in 3D Space and Complex Numbers.

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