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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

### Commutative Property of Vector Addition

plain and simple summary

nub

plain and simple summary

nub

dummy

•  Vectors can be swapped in vector addition - commutative.

simple steps to build the foundation

trek

simple steps to build the foundation

trek

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What does 'commute' mean?

• to go to and fro on a regular basis
• is it an English word?

The answer is 'to go to and fro between two places on a regular basis'.

Vector addition is the addition of components. The components are real numbers. If the vectors are swapped in a vector addition, will the sum be same?

• the result will be same
• the result will change

The answer is 'the result will be same'. The real numbers are commutative. The components of vectors are real numbers and so vectors are commutative.

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

Commutative Property of Vector Addition: For any vector vec a, vec b in bbb V
vec a+vec b =vec b + vec a

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

Given that vec p + vec q = 2i-1.2j+.5k, Which one of the following is vec q + vec p?.

• .5i-1.2j+2k
• .5i+2j-1.2k
• 2i-1.2j+.5k
• -1.2i+.5j+2k

The answer is '2i-1.2j+.5k', since vector addition is commutative.

Progress

Progress

What does 'commute' mean?
go;to;fro;regular;basis
to go to and fro on a regular basis
is;it;English
is it an English word?
The answer is 'to go to and fro between two places on a regular basis'.
Vector addition is the addition of components. The components are real numbers. If the vectors are swapped in a vector addition, will the sum be same?
same
the result will be same
change
the result will change
The answer is 'the result will be same'. The real numbers are commutative. The components of vectors are real numbers and so vectors are commutative.
Vectors can be swapped in vector addition - commutative.
Commutative Property of Vector Addition: For any vectors ;; vector a and vector b in vector space V, vector a + vector b = vector b + vector a.
Given that vector P + vector q = 2 i minus 1 point 2 j plus point 5 k, Which one of the following is vector q plus vector p?
1
2
3
4
The answer is "2 i minus 1 point 2 j plus point 5 k" since vector addition is commutative.

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