If vectors and represent the adjacent sides of a parallelogram such that and , what is the area of the parallelogram?

Answer and explanation

Correct answer: A.

  1. Step 1: Area of parallelogram is given by .
  2. Step 2: Compute cross product: .
  3. Step 3: Magnitude is .
Answer
.
Why not the others: forgets the square root of 2; evaluates ; and doubles the scalar factor.

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