Vector addition is
Correct answer: D. Both a) and b)
- A. Associative
- B. Commutative
- C. Distributive
- D. Both a) and b)
Explanation
Vector addition follows the commutative property, which means the order of addition does not matter. Vector addition also follows the associative property, which means it does not matter which vector is first when vectors are being added. Commutative property of addition: Changing the order of addends does not change the sum. For example, 4 + 2 = 2 + 4 . Associative property of addition: Changing the grouping of addends does not change the sum. For example, ( 2 + 3 ) + 4 = 2 + ( 3 + 4 ) .
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About Vectors and Equilibrium
Vectors have magnitude and direction, unlike scalars, and are combined by head-to-tail or parallelogram methods. Work covers rectangular components, equilibrium when the resultant force is zero, the scalar product for work and projections, and the vector product for torque and cross-product direction using the right-hand rule.
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