APPENDIX A
Exercises
EA.1 Given
,68 and 32 21
jZjZ
we have:
EA.2
6.106.10)45sin(15)45cos(154515
1
jjZ
EA.3 Notice that
Z
Notice that
Z
EA.4 Notice that
Z
EA.5
)165(200)13530()2010()13520)(3010(
21
ZZ
Problems
PA.1 Given
,34 and 32 21
jZjZ
we have:
06 21
jZZ
PA.2 Given that
,32 and 21 21
jZjZ
we have:
13 21
jZZ
PA.3 Given that
,2020 and 510 21
jZjZ
we have:
1530 21
jZZ
PA.4 (a)
45exp071.745071.755
jjZ a
PA.5 (a)
536.3536.345exp5455
jjZa
PA.6 (a)
5.2330.43055 30
jeZ j
a
PA.7 (a)
1066.13301055
jjZa