202109161046 Exercises 1.1.A (Q2)

For the points $P=(1,-1,1)$ , $Q=(2,-2,2)$ , $R=(2,0,1)$ , $S=(3,-1,2)$ , does $\overrightarrow{PQ}=\overrightarrow{RS}$ ?

Solution.

$\begin{aligned} \overrightarrow{PQ} & = (2,-2,2) - (1,-1,1) \\ & = (1,-1,1) \\ \overrightarrow{RS} & = (3,-1,2) - (2,0,1) \\ & = (1,-1,1) \\ \end{aligned}$

$\therefore\enspace \overrightarrow{PQ}=\overrightarrow{RS}$

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