Math Test

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Author:
EvonneC
ID:
18912
Filename:
Math Test
Updated:
2010-05-11 22:21:34
Tags:
Math
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Description:
Chapter 9 test
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  1. Let u=<3,6>, v=<-8,2> and w=<2,-1>
    find:
    a)3v+2w-1/3u
    • <-8*3,2*3>+<2*2,-1*2>-<(1/3)*3,(1/3)*6>
    • =<-24+4-1, 6-2-2>
    • =<-21,2>
  2. Find the Vector AB if AB has for initial point <-8,2> and for end point<3,6>
    • AB=<3+8, 6-2>
    • =<11,4>
  3. A complex number z is given in exponential form as:z=12ei2(pi)/3
    z=12(cos2(pi)/3+isin2(pi)/3)
  4. convert this: z=12(cos2(pi)/3+isin2(pi)/3) to the rectangular form
    • =12(-1/2+i sq. root of 3/2)
    • =z=-6+i6 sq.root of 3
  5. let z=5 +12i=reitheta

    Convert to the exponential form
    • r2=52+122=25+144=169
    • r=sq root of 169=13
    • tan theta=b/a=12/5
    • theta=tan-1(12/5)= 67.4
    • z=13ei67.4
  6. convert z to polar form
    z=13ei67.4
    z=13(cos67.4+isin67.4)
  7. find z3

    z=4ei2(pi)/3

    • z3=43ei3(2(pi)/3) =64ei2(pi) =64(cos2(pi)+isin2(pi))
    • =64(1+i0)=64
    • z3 =64

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