If the vectors and are not parallel

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

Problem

69. If the vectors u\mathbf{u} and v\mathbf{v} are not parallel, prove that au+bv=cu+dv⇒a=c,b=da \mathbf{u}+b \mathbf{v}=c \mathbf{u}+d \mathbf{v} \Rightarrow a=c, b=d

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