Vectors and represent two adjacent sides of a parallelogram taken in order from a…

MATHEMATICS · Single correct · A Level · Mathematics · Vectors · Vectors

Problem

Vectors u\mathbf{u} and v\mathbf{v} represent two adjacent sides of a parallelogram taken in order from a common point. Which vector corresponds to the diagonal of the parallelogram that starts at the same point? (a) −(u+v)-(\mathbf{u}+\mathbf{v}) (b) u+v\mathbf{u}+\mathbf{v} (c) u+v2\dfrac{\mathbf{u}+\mathbf{v}}{2} (d) u−v\mathbf{u}-\mathbf{v}

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