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# HW7 - HW7 Tian Gu Code 815 Problem 1 This is a complex...

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HW7 Tian Gu Code: 815 10/17/2010 Problem 1 This is a complex number problem A=-3+2j B= -5e jp/3 C= -3 with and angle of 30 0 a) Find A*B in rectangular and exponential forms b) Find A/C in rectangular and exponential forms c) Find (A*C)/B in rectangular and exponential forms Problem 2 Introduction: Vector is a tool in mathematics and physics. And it is also a class template in programming like C++. cross product : In physics, sometimes the notation a b is used. The definition of the cross product can also be represented by the determinant of a formal matrix:

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We can use Sarrus' rule and Cofactor expansion. Sarrus' Rule Cofactor expansion Problem 3 Write the following exponentials in real and imaginary forms -j5e -2j  ,  -j2e j p /4  , -Ae -j p  ,  -j6e -j p /2     Problem 4 Read the following article about lasers and answer the following questions a) What is a size of semiconductor lasers The kinds of lasers used in optical networks are tiny devices — usually about the size of a grain of salt.
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