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Chapter 2: Q28P (page 53)

Find the absolute value of each of the following using the discussion above. Try to do simple problems like these in your head-it saves time.

zz炉.

Short Answer

Expert verified

The absolute value is 1.

Step by step solution

01

Given Information

The complex number is zz炉.

02

Absolute value of the Complex number

Let z be a complex number consisting of two real numbers as:

z=x+yz

Here x and y are the real numbers.

The absolute value of z can be calculated as:

|z|=x2=y2

03

Find the value

The complex number is zz炉.

The absolute value can be calculated as below:

z=x+yix-yi=x+yix-yi=x2+y2x2=y2z=1

Thus, the final answer is obtained as:

z=1

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Most popular questions from this chapter

Find the absolute value of each of the following using the discussion above. Try to do simple problems like these in your head-it saves time.

253+4i.

Question: Find vand a if z=cos2t+isin2t, can you describe the motion.

Find and ifz=(1-it)2t+i .

For each of the following numbers, first visualize where it is in the complex plane. With a little practice you can quickly findx,y,r,胃in your head for these simple problems. Then plot the number and label it in five ways as in Figure 3.3. Also plot the complex conjugate of the number.

role="math" localid="1658473180216" 2(cos蟺4+isin蟺4).

Describe geometrically the set of points in the complex plane satisfying the following equations.

Rez=0.

See all solutions

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