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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

Standard Unit Vectors

» `3` orthogonal axes are represented with `3` unit vectors

→ x-axis `i`

→ y-axis `j`

→ z-axis `k`

*plain and simple summary*

nub

*plain and simple summary*

nub

dummy

*3D vector space is of 3 orthogonal axes, with standard unit vectors `i`, `j`, `k`.*

*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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In this page, orthogonal axes of vector space and the standard unit vectors are explained.

Starting on learning "Standard Unit Vectors". ;; In this page, orthogonal axes of vector space and the standard unit vectors are explained.

A person walks `5`m east and then takes the following path

• `3`m north

• `4.2`m south

• `3/4` m north

At this position, how far is the person away from the starting point *in the east direction* ?

- `5`m
- `5+3+4.2+3/4`m
- `5+3-4.2+3/4`m
- none of the above

Answer is '`5`m '– as the person moved `5` meter east and then all his movements were in directions north and south.

*Any change in a direction affects the component along that direction only* and does not affect the components in the directions at `90^@` to that direction.

Independence of Quantities along orthogonal directions: For a vector, changes along one axis affect only the component along that axis and do not affect the components along other axes, as the axes are orthogonal.

How many orthogonal components are there in 3D coordinate space?

- `1`
- `2`
- `3`
- `4`

The answer is '`3`'. There are 3 orthogonal axes.

Along the three orthogonal axes, irreducible unit is defined as unit vectors `i`, `j`, and `k`.

*comprehensive information for quick review*

Jogger

*comprehensive information for quick review*

Jogger

dummy

**Standard Unit Vectors: ** 3D vector space has three orthogonal axes. Unit vectors along the axes are standard unit vectors and are represented with `i`, `j`, and `k`.

*practice questions to master the knowledge*

Exercise

*practice questions to master the knowledge*

Exercise

*your progress details*

Progress

*About you*

Progress

A person walks 5 meter east and then takes the following path ;; 3 meter north;; 4 point 2 meter south ;; 3 by 4 meter north;; At this position, how far is the person away from the starting point in the east direction?

1

2

3

4

The answer is "5 meter", as the person moved 5 meter east and then all his movements were in directions north and south.

Any change in a direction affects the component along that direction only and does not affect the components in the directions at 90 degree to that direction.

Independence of Quantities along orthogonal directions: For a vector, changes along one axis affect only the component along that axis and do not affect the components along other axes, as the axes are orthogonal.

How many orthogonal components are there in 3D coordinate space?

1

1

2

2

3

3

4

4

The answer is ' 3 '. There are 3 orthogonal axes.

Along the three orthogonal axes, irreducible unit is defined as unit vectors i, j, and k

3D vector space is of 3 orthogonal axes, with standard unit vectors i, j, k.

Standard Unit Vectors: 3D vector space has three orthogonal axes. Unit vectors along the axes are standard unit vectors and are represented with i, j, and k