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Thought-Process to Discover Knowledge

Welcome to **nub****trek**.

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.continue

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.continue

Welcome to **nub****trek**.

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think,

figure-out, &

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The content is presented in small-focused learning units to enable you to

think,

figure-out, &

learn.

To make best use of nubtrek, understand what is available.

nubtrek is designed to explain mathematics and science for young readers. Every topic consists of four sections.

nub,

trek,

jogger,

exercise.

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Modulus

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

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

*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.

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. 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|` `|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)`'

*your progress details*

Progress

*About you*

Progress

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".