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Mathematics 1229A/B Midterm Oct,2007

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Department
Mathematics
Course
Mathematics 1229A/B
Professor
Stefan Tohaneanu
Semester
Winter

Description
ThursdayOctober42007Mathematics031CODE111Page1Test1PARTA18marksUsethefollowingforquestions12and3Letu2143andv111011FinduvmarkA3B1C0D1E3SolutionThedotproductof2vectorsinmspaceforanym2isgivenbysummingtheproductsofcorrespondingcomponents21431110211141302140121FinduvmarkA2140B1053C3233D3030EnoneofABCDSolutionThesumof2vectorsinmspaceforanym2isthevectorwhosecomponentsarethesumsofthecorrespondingcomponents2143111021114130323331FinduvmarkA35B47C26D74E303SolutionThedierencevectorissimplythevectorwhosecomponentsarethedierencesofcorrespondingcomponentsAndthemagnitudeofavectorisgivenbythesquarerootofthesumofthesquaresofthecomponentssoweget21431110211141301053222210531025935Usethefollowingforquestions45and6Letv112andw31141FindvwmarkA312B372C372D372E372SolutionUsingtheformulafororanyofthetricksforcalculatingthecrossproductoftwovectorsin3wegetthevector112311111223111131126113372
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