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# sol2 - Math 321 Quiz 2 Name I/9016 Qt 1(5 pt Prove that the...

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Unformatted text preview: Math 321 Quiz 2 Name I [/9016 Qt. 1.(5 pt) Prove that the medians of a triangle intersect at the same point which is 2/3 of the way down from >the verticed along each median. 0A1 CL ll x+3lj- o “M“ .. .... ”A , + X36 . £/d+i1§:£§+ﬁbé 4 (31 2 1 4111,0942 nyAp :@ hgymsLLtijf ‘waé‘ y > /’ 1"? '7? I, _ IX ﬂo’CEV'XGL'n) , “(5% _. ,3 1.3 ' 1-.. L«LL3L~O m :3} BE? «J? Law; 7 ﬂ 11W3”? 131(53 ”55% “W“ 1. 53133:: ' Lair; L74 (5)3511?) 1'? Lﬂiﬁwdﬁw wﬁmmttiMAM‘wﬂm¢ 0PM W (2: Limit?) ‘7 i ((wzﬁla (Ly-92x11 1" ” (5:353 Haisanw/ 2. (2 pt) If 7 is a unit vector and 7 is any vector, show that_+ — —7 — M17“ M45 (—>. W) 7 IS orthogonal to W.1aﬂw ﬁ;?s ,‘ﬁfha, , 171.34» mm) A 3 42M “52%: > _ 7 1:; f N40 A6 'x/le 3/37/10, :(g>.,1)..(1>,1.)(wh> . ‘1 . 8L LL77;a E: E 3 {3’ LM 2 LL a”? :30 ' \ 3. (3 pt) Suppose_> a1- and b1, 75— — 1, 2,3 are arbitrary vectors, (they do not need to be orthogonal) are the following statements true or false? (a) (me/@L If 31> 2 (1,2), 53 = (2,3) and LT; pendent. _> )([email protected]) KW: Z3_1v1a1_>andﬁ= 23:1w1b1,then? ‘22): 2‘: 1121-7111- (51 b1). (cb))@False) 21:1 611%: T). Boniis. (1 pt) )What IS the deﬁnition of the mixed product? W?) (0,1), then they are inde— I ...
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