2143 mathmatics quiz 1, Schemes and Mind Maps of Mathematics

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Math 2153 - January 21, 2016 Full Name: Quiz 1 1. (1 point) Decide if the following statement is true or false. You do NOT need to justify your answer. (@) F If u = (uz, ue, ug) is a nonzero vector then proj, U = u. o> =~ on ——s OV Lu - a _ ye \bra a 4-4 —— = ica) Rat Cave tah ie ie 2. (1 point) Give a concrete example of a vector u = (uz, t2) satisfying ueu = 4 You do NOT need to simplify your answer. aa = ly wut ual 4 so lu l= sr W = whtin ay b= 4 | kh arg =2 mip: Q=S62> is om exon 3. (3 points) A weight is suspended from the ceiling by two strings as pictured below. If each string can support a maximum tension of 10 lbs., what is the maximum weight W that this configuration can support before at least one string breaks? : Sy = C- f2 - S, Wzs> a7 Viowcled, = as = 10 < ~ on 45", ~Sin 48° > —4 “
= >S.= < les, 12-59 38 Wko4> = 34S = <0 12-0 =>|W= 2-10