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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**.

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. continue

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.

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

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. continue

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. continue

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. continue

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`

*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

You are learning the free content, however do shake hands with a coffee to show appreciation.

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When two complex numbers are considered to be equal?

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`'

*your progress details*

Progress

*About you*

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"