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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.

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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

### Associative Property of Vector Addition

plain and simple summary

nub

plain and simple summary

nub

dummy

•  Order of addition can be changed - associative.

simple steps to build the foundation

trek

simple steps to build the foundation

trek

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What does 'Associate' mean?

• to connect with; to join
• not to connect

The answer is 'to connect with; to join'

•  Person A associates the middle vector with first vector and, to the result of that, he adds the third vector (vec a + vec b) + vec c
•  Person B associates the middle vector with third vector and to that she adds the first vector vec a + (vec b + vec c) Will the two persons get different results?

• They will get different results
• They will get identical results

The answer is 'They will get identical results'. Considering that the components of vectors are real numbers, the order of additions does not change the result of addition.

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

Associative Property of Vector Addition: Any vectors vec a, vec b, vec c in bbb V,
(vec a+vec b)+vec c
quad quad = vec a + (vec b + vec c)

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

Which of the following equals vec x + vec y + vec x?

• vec x + vec y
• vec x + vec x + vec y
• vec y + vec x
• vec y + vec y + vec x

The answer is 'vec x + vec x + vec y'

Progress

Progress

What does 'Associate' mean?
with;join
to connect with; to join
not
not to connect
The answer is 'to connect with; to join'
When three vectors are added, ;; Person A associates the middle vector with first vector and, to the result of that, he adds the third vector ; vector a plus vector b ;; plus vector c ;; Person B associates the middle vector with third vector and to that she adds the first vector; vector a + ;; (vector b + vector c) ;; Will the two persons get different results?
different
They will get different results
identical
They will get identical results
The answer is 'They will get identical results'. Considering that the components of vectors are real numbers, the order of additions does not change the result of addition.
Order of addition can be changed - associative.
Associative Property of Vector Addition: Any vectors ; vector a , vector b, vector c in vector space v ;; vector a plus vector b ;; plus vector c ; = vector a ;; plus vector b plus vector c
Which of the following equals vector x plus vector y + vector x ?
1
2
3
4
The answer is "vector x plus vector x plus vector y"

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