Mathematics

Mathematics

Problem

If A(1,2), B(4,5) and C(7,8) are three distinct points in the coordinate plane, which one of the following conditions is sufficient to ensure that A, B and C are collinear? a) mAB × mBC=−1m_{AB}\,\times\,m_{BC}=-1 b) ∣mAB∣=∣mBC∣|m_{AB}|=|m_{BC}| c) mAB=mBCm_{AB}=m_{BC} d) mAB=− mBCm_{AB}=-\,m_{BC}

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