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Complex Plane and Polar Form

Complex Plane and Polar Form

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Modulus


 »  distance from origin `(0,0)` is modulus `r`


 »  `|a+ib|` ` = r = sqrt(a^2+b^2)`
by Pythagorean Theorem

Modulus of a complex Number

plain and simple summary

nub

plain and simple summary

nub

dummy

The length of line segment from origin to the point represented by complex number is the modulus of the complex number.

simple steps to build the foundation

trek

simple steps to build the foundation

trek

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Complex numbers are ordered pair of real numbers and a modulus is defined for that. This page explains the modulus of a complex number in detail.


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Starting on learning "Modulus of a complex number". ;; Complex numbers are ordered pair of real numbers and a modulus is defined for that. This page explains the modulus of a complex number in detail.

A Complex number `a+i b` is represented on complex plane as shown in the figure.modulus of complex number What is the length of the line segment between origin and the point represented by the complex number?

  • `sqrt(a^2+b^2)`
  • `a+i b`
  • `a+b`

The answer is '`sqrt(a^2+b^2)`'

The length of the line segment `OP` is called modulus of the complex number. It is represented as `|z|`modulus of complex number `|z|` is called modulus of z or mod z.

What does "modulus" mean?

  • absolute measure without any additional information
  • mathematical model

The answer is 'absolute measure without any additional information'.

In complex number, the absolute measure of the number without splitting into the real or imaginary parts is modulus.

|z| is called...

  • Practice Saying the Answer

The answer is 'Modulus or mod'.

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

Modulus: For a complex number `z=a+i b in CC`, the modulus of `z` is given as `|z| = sqrt(a^2+b^2)`



           

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

Find the modulus of `1.1-i`

  • `sqrt(0.21)`
  • `sqrt(2.21)`
  • `2.1`
  • `+-sqrt(2.21)`

The answer is '`sqrt(2.21)`'

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A Complex number a+i b is represented on complex plane as shown in the figure. ;; What is the length of the line segment between origin and the point represented by the complex number?
square;root;squared
square root a squared plus b squared
a;b;bee;i
a+i b
a plus b
a+b
The answer is "square root a squared plus b squared"
The length of the line segment O P is called modulus of the complex number. It is represented as modulus z. ;; It is called modulus of z or mod z.
What does "modulus" mean?
absolute;measure;without;additional;information
absolute measure without any additional information
mathematical;model
mathematical model
The answer is 'absolute measure without any additional information'. ;; In complex number, the absolute measure of the number without splitting into the real or imaginary parts is modulus.
|z| is called...
modulus;mod
The answer is 'Modulus or mod'.
The length of line segment from origin to the point represented by complex number is the modulus of the complex number.
Modulus: For a complex number z= a+i b in set of complex numbers, the modulus of z is given as mod z = square root of a squared plus b squared.
Find the modulus of 1 point 1 minus i.
0;zero
square root of 0 point 2 1
2 point
square root of 2 point 2 1
2 point 1
two point 1
plus;minus
plus or minus square root of 2 point 2 1
The answer is "square root of 2 point 2 1".

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