Find the cross product for vectors and in the standard Cartesian coordinate system.

Answer and explanation

Correct answer: C. , matching the standard unit vector k along the z-axis

  1. Step 1: Using the determinant definition: . Step 2. Expanding along the top row: . **Answer: , matching the standard unit vector k along the z-axis. Why not the others:** is ; is the vector sum ; would require parallel vectors.

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