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Question Number 93505 by Ar Brandon last updated on 13/May/20

$$\mathrm{Does}$$$$(\mathrm{x},\mathrm{y})+({\mathrm{x}}^{{}^{\prime }},{\mathrm{y}}^{{}^{\prime }})=(\mathrm{x}+{\mathrm{x}}^{{}^{\prime }},\mathrm{y}+{\mathrm{y}}^{{}^{\prime }})$$$$\mathrm{form}\mathrm{a}\mathrm{vector}\mathrm{space}?$$$$\lambda (\mathrm{x},\mathrm{y})=(\lambda \mathrm{x},\lambda \mathrm{y})$$

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