Two vectors and are drawn as two adjacent sides of a parallelogram starting from the…

MATHEMATICS · Subjective · A Level · Mathematics · Vectors · Vectors

Problem

Two vectors P\mathbf{P} and Q\mathbf{Q} are drawn as two adjacent sides of a parallelogram starting from the same point. Explain briefly why the diagonal of this parallelogram represents the same resultant vector that would be obtained if P\mathbf{P} were followed by Q\mathbf{Q} head-to-tail.

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