Which of the following is commutative?
Correct answer: A. Vector addition
- A. Vector addition
- B. Vector multiplication
- C. Vector subtraction
- D. Both A and B are correct
Explanation
The correct answer is Option A: Vector addition. Vector addition is commutative because the order in which two vectors are added does not affect the result. For two vectors A and B, A + B = B + A.Option B, vector multiplication, is incorrect because the cross product of two vectors is not commutative; A × B does not equal B × A.Option C, vector subtraction, is incorrect because subtraction is inherently non-commutative. The order matters, thus A - B ≠ B - A.Option D is incorrect because it suggests both A and B are commutative, which is not true. Only vector addition is commutative.
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