Three displacement vectors and are applied one after another to a particle

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Three displacement vectors a, b\mathbf{a},\,\mathbf{b} and c\mathbf{c} are applied one after another to a particle. Which property of vector addition guarantees that the final position of the particle is independent of the order in which these three displacements are performed? (a) Distributive property (b) Commutative property (c) Associative property (d) Triangle law of vector addition

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