If is the union of the coordinate axes, then is NOT a real vector space because

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If<br><img src='https://www.fatskills.com/images2/GradExams/7B52471F-8D7D-495F-8711-0AF5FC0B8584.png' height='18' width='66'/> is the union of the coordinate axes, then<br><img src='https://www.fatskills.com/images2/GradExams/1BCCC517-DBFE-4AEF-8DC1-03D870DC389C.png' height='14' width='17'/> is NOT a real vector space because<br/>