In a regular hexagon

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

Problem

In a regular hexagon ABCDEFABCDEF , prove that AB+AC+AD+AE+AF=3AD\mathbf{AB} + \mathbf{AC} + \mathbf{AD} + \mathbf{AE} + \mathbf{AF} = 3\mathbf{AD} .

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