Sol#1 - h I'V MATH 171-10c Assignment 1 i Guidelines Begin...

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Unformatted text preview: h) I'V. MATH 171-10c, Assignment 1 ' i , , Guidelines . _ _ Begin by answering the questions in the space provided; you may write on both sides of thetpaper.‘ Additional‘sheets may be attached if‘nebessary. Staple all sheets together‘before 3sixb1nissi0n. Put doWn the names Of all group members in the top right corner. Write neatly ' and legibly; untidy presentation may lead to appropriate penalization. .Due; ‘ Friday, Jan 29th (by '5 pm) 1. (19 marks) Show that _ l . « (a+b)+c=a+(b+c) , for every set of (generic) yectors a, b, and c. 2. (10 marks) Slippose that a and b are (generic) vectors. Prove the following parallelogram ‘ identity: . ' - . ' . "a + b"2 + "a — bl!2 = 2(llall2 + llbllzl (Start with the left-hand side, and use the fact that ”c"2 = c~ c for any vector c.) lea-"£7 ‘3': ‘1' <5, $2.7, l> ; (5') 5257/ p .v E: ...
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