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Question

Mathematics Question on Vector Algebra

Find the scalar and vector components of the vector with initial point (2,1) and terminal point (-5,7).

Answer

The vector with the initial point P(2,1) and Q(-5,7) can be given by,
PQ\overrightarrow{PQ} = (52)i^+(71)j^(-5-2)\hat i+(7-1)\hat{j}
⇒$$\overrightarrow{PQ} = 7i^+6j^-7\hat i+6\hat{j}
Hence, the required scalar components are -7 and 6 while the vector components are 7i^-7\hat iand 6j^6\hat{j}.