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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

### Algebra of Complex Numbers

Voice

Voice

Home

When Two Complex numbers are Equal?

»  if two complex numbers a+ib and c+id are equal then

→  a=c and

→  b=d

### Equivalence of complex numbers

plain and simple summary

nub

plain and simple summary

nub

dummy

Two complex numbers are equal if real and imaginary parts are equal.

simple steps to build the foundation

trek

simple steps to build the foundation

trek

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When two complex numbers are considered to be equal?

Keep tapping on the content to continue learning.
Starting on learning "Equivalence of complex numbers". ;; In this page, it is explained when two complex numbers are considered to be equal.

When will two complex numbers z_1=a+ib and z_2=p+iq be equal?

• when modulus are equal |z_1| = |z_2|
• when argument are equal text(arg)z_1 = text(arg)z_2
• when real and imaginary parts are equal a=p and b=q
• when real or imaginary parts are equal a=p or b=q

The answer is 'if real and imaginary parts are equal a=p and b=q'

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

Complex numbers Equivalence: Two complex numbers z_1=a_1+ib_1 and z_2=a_2+ib_2 are equal only if a_1=a_2 and b_1=b_2

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

If two complex numbers 3-i4 and 1+x are equal, What is x?

• -4
• 2-i4
• 3-i4
• -4i

The answer is '2-i4'

Progress

Progress

When will two complex numbers z1=a+i b and z2=p+i q be equal?
modulus
when modulus are equal
argument
when argument are equal
and
when real and imaginary parts are equal
or
when real or imaginary parts are equal
The answer is "if real and imaginary parts are equal"
Two complex numbers are equal if real and imaginary parts are equal.
Complex numbers Equivalence: Two complex numbers z1=a1+i b1 and z2=a2+i b2 are equal, only if a1=a2 and b1=b2
If two complex numbers 3 minus i4 and 1+x are equal, What is x?
minus 4;-4
minus 4
2 minus i 4;2-i4
2 minus i 4
3 minus i 4; 3-i4
3 minus i 4
-4i;minus 4i
minus 4i
The answer is "2 minus i 4"

we are not perfect yet...