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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

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Voice

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» vector addition is closed.

*plain and simple summary*

nub

*plain and simple summary*

nub

dummy

• Sum or difference of two vectors is another vector - closed.

*simple steps to build the foundation*

trek

*simple steps to build the foundation*

trek

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In this page, Closure property of vector addition is explained.

Starting on learning "Closure Property of Vector Addition". ;; In this page, Closure property of vector addition is explained.

What does 'closure' mean?

- closed
- not open
- both the above

Answer is 'both the above'

Integer addition has closure property. It means that, if any two integers are added, the result will be within the integer set of numbers. Is it correct?

- Yes, the result has to be within
- No, the result has to be outside

Answer is 'Result has to be within' the set of integers.

Vector space `bbb V` consists of all the vectors with real numbers as components.

Is sum of two vectors be another vector in the vector space?

- Yes
- No

The answer is 'Yes'. Sum of two real-numbers is a real number. Since vector addition is addition of real-numbers as components, sum of vectors is a vector.

*comprehensive information for quick review*

Jogger

*comprehensive information for quick review*

Jogger

dummy

**Closure Property of Vector Addition: ** For any vectors ` vec(a), vec(b) in bbb V`,

` vec(a)+vec(b) in bbb V`

*practice questions to master the knowledge*

Exercise

*practice questions to master the knowledge*

Exercise

*your progress details*

Progress

*About you*

Progress

What does 'closure' mean?

closed

closed

not;open

not open

both;above

both the above

Answer is 'both the above'

Integer addition has closure property. It means that, if any two integers are added, the result will be within the integer set of numbers. Is it correct?

yes;s;within

Yes, the result has to be within

no;outside

No, the result has to be outside

Answer is 'Result has to be within' the set of integers.

Vector space V consists of all the vectors with real numbers as components. Is sum of two vectors be another vector in the vector space?

yes;s

Yes

no

No

The answer is 'Yes'. Sum of two real-numbers is a real number. Since vector addition is addition of real-numbers as components, sum of vectors is a vector.

Sum or difference of two vectors is another vector - closed.

Closure Property of Vector Addition: For any vectors ; vector a and vector b in the vector space V, ;; vector a plus vector b is in vector space v.