Question

In reperul cartezian xOy se considera punctele A(5,-2) si C(1,2). Determinati coordonatele punctului B știind ca patrulaterul OABC este paralelogram!
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Answer 1

   
[tex]\displaystyle\\ A(5,~-2)~~\Longrightarrow~~\overset{\rightarrow}{a}=5i-2j\\\\ C(1,~2)~~\Longrightarrow~~\overset{\rightarrow}{c}=i+2j\\\\ \overset{\rightarrow}{b}=\overset{\rightarrow}{a}+\overset{\rightarrow}{c}= (5i-2j) + (i+2j) = \boxed{\bf 6i+0j}\\\\ \Longrightarrow~~B(6,~0)[/tex]