Division of complex number, Mathematics

Assignment Help:

Division of complex number

Now, we gave this formula a long with the comment that it will be convenient while it came to dividing complex numbers so let's look at a couple of examples.

Example Write down each of the following in standard form.

                               (3 - i)/(2+ 7i)

Solution

thus, in each case we are actually looking at the division of two complex numbers. However The main idea here is that we desire to write them in standard form.  Standard form does not let for any i's to be in the denominator.  Thus, we have to get the i's out of the denominator.

Actually this is fairly simple if we remember that a complex number times its conjugate is a real number.  Thus, if we multiply the numerator & denominator by the conjugate of the denominator we will be capable to eliminate the i from the denominator.

(3 - i)/(2+ 7i) =(3 - i )( 2 - 7i)/ (2+ 7i) ( 2 - 7i) = 6 - 23i+ 7i2 /22 +72

= -1 - 23i/53 = (1/53)-(23/53)i

Note that to put the answer into standard form we broke up the fraction into the real & imaginary parts.


Related Discussions:- Division of complex number

Domain of a vector function - three dimensional space, Domain of a Vector F...

Domain of a Vector Function There is a Vector function of a single variable in R 2 and R 3 have the form, r → (t) = {f (t), g(t)} r → (t) = {f (t) , g(t), h(t)} co

Linear Equations, Tommy has a Nexus 4 that charges poorly. He placed his ph...

Tommy has a Nexus 4 that charges poorly. He placed his phone to charge,after 20 minutes the phone was 27% and after 85 minutes the phone was at 66%. Find how many percentage the p

Proportions Ratios, Give me an example , please : 1 over 2 , 14 over twenty...

Give me an example , please : 1 over 2 , 14 over twenty-eight

Quadratic equation modeling profitability, Sam''s sport''s equipment sells ...

Sam''s sport''s equipment sells footballs. They maximized their profitability last year at (6,4) where x represents employees and P(x) represents profitability. Sam noticed that wh

Complex number, a ,b,c are complex numbers such that a/1-b=b/1-c=c-1-a=k.fi...

a ,b,c are complex numbers such that a/1-b=b/1-c=c-1-a=k.find the value of k

Define markov process, Define Markov process. Markov process is one in...

Define Markov process. Markov process is one in which the future value is independent of the past values, given the current value

Yield volatility and graph, This question has two related parts, (a) and (b...

This question has two related parts, (a) and (b). (a) Use the daily yields in the table below to compute a daily standard deviation of yields. Next annualize the daily standard

Properties of logarithms, Properties of Logarithms 1. log a x...

Properties of Logarithms 1. log a xy = log a x + log a y 2.  = log a x - log a y 3. log a x n   = n log

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd