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Thought-Process to Discover Knowledge

Welcome to nubtrek.

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.

User Guide

Welcome to nubtrek.

The content is presented in small-focused learning units to enable you to
think,
figure-out, &
learn.

Just keep tapping (or clicking) on the content to continue in the trail and learn.

User Guide

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.

User Guide

nub is the simple explanation of the concept.

This captures the small-core of concept in simple-plain English. The objective is to make the learner to think about.

User Guide

trek is the step by step exploration of the concept.

Trekking is bit hard, requiring one to sweat and exert. The benefits of taking the steps are awesome. In the trek, concepts are explained with exploratory questions and your thinking process is honed step by step.

User Guide

jogger provides the complete mathematical definition of the concepts.

This captures the essence of learning and helps one to review at a later point. The reference is available in pdf document too. This is designed to be viewed in a smart-phone screen.

User Guide

exercise provides practice problems to become fluent in the concepts.

This part does not have much content as of now. Over time, when resources are available, this section will have curated and exam-prep focused questions to test your knowledge.

summary of this topic

### Properties of Complex Number Arithmetic

Voice

Voice

Home

»  argument of product is sum of arguments of multiplicand and multiplier.

→  arg (z_1 xx z_2) = arg(z_1) + arg(z_2)

### Argument in multiplication

plain and simple summary

nub

plain and simple summary

nub

dummy

•  argument of product is sum of arguments.

simple steps to build the foundation

trek

simple steps to build the foundation

trek

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Argument of product is sum of arguments of the multiplicands.

Keep tapping on the content to continue learning.
Starting on learning "Argument in multiplication". ;; In this page you will learn Argument of product is sum of arguments of the multiplicands.

Given z_1 = a_1+ib_1 and z_2 = a_2+ib_2 what is the argument of product text(arg)(z_1 xx z_2)?

• text(arg)z_1 xx text(arg)z_2
• text(arg)z_1 + text(arg)z_2

The answer is 'text(arg)z_1 + text(arg)z_2'.

Given z_1 = a_1+ib_1 and z_2 = a_2+ib_2, the argument of product
text(arg)(z_1 xx z_2)
quad quad = text(arg)(r_1r_2 e^(i theta_1 + theta_2))
quad quad = theta_1 + theta_2
quad quad = text(arg)z_1 + text(arg)z_2

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

Argument of Product: For complex numbers z_1, z_2 in CC
text(arg)(z_1 xx z_2) = text(arg)z_1 + text(arg)z_2

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

Given z_1 = a_1+ib_1 and z_2 = a_2+ib_2, what is the argument of quotient text(arg)(z_1 -: z_2)?

• text(arg)z_1 -: text(arg)z_2
• text(arg)z_1 xx text(arg)z_2
• text(arg)z_1 - text(arg)z_2
• text(arg)z_1 + text(arg)z_2

The answer is 'text(arg)z_1 - text(arg)z_2'.

Progress

Progress

Given z1 = a1+i b1 and z2 = a2+i b2 what is the argument of product argument z1 multiplied z2?
multiplied
argument z1 multiplied argument z2
plus
argument z1 plus argument z2
The answer is 'argument z1 plus argument z2 '
Given z1 = a1+i b1 and z2 = a2+i b2, the argument of product ;; argument of z1 xx z2 ;; equals argument of r1 r2 e power i, theta1 + theta2 ;; equals theta1 + theta2 ;; equals argument of z1 + argument of z2
argument of product is sum of arguments.
Argument of Product: For complex numbers z1, z2 in CC ;; argument of z1 multiplied z2 = argument of z1 + argument of z2
Given z1 = a1+i b1 and z2 = a2+i b2, what is the argument of quotient argument z1 divided by z2?
divided
argument z1 divided argument z2
multiplied
argument z1 multiplied argument z2
minus
argument z1 minus argument z2
plus
argument z1 plus argument z2
The answer is 'argument z1 minus argument z2'

we are not perfect yet...