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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

Voice

Voice

Home

### Closure Property of Vector Addition

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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What does 'closure' mean?

• closed
• not open
• 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

Progress

Progress

What does 'closure' mean?
closed
closed
not;open
not open
both;above
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.

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