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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

»  additive inverse of a vector vec p is -vec p.

plain and simple summary

nub

plain and simple summary

nub

dummy

•  negative of a vector - Additive inverse

simple steps to build the foundation

trek

simple steps to build the foundation

trek

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What does 'inverse' mean?

• same; identical; similar
• opposite; converse

Consider two vectors vec a = 1.1i-2j and vec b = -1.1i+2j. What will be vec a+vec b?

• vec 0
• 0i+0j
• all the above

The answer is 'All the above'. For any vector vec a there is an inverse -vec a, and when these are added the sum is additive identity vec 0.

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

Additive Inverse: For any vector vec a in bbb V there is an additive inverse vector -vec a in bbb V such that
vec a+(-vec a)=vec 0

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

A person A is pulling an object with force vec f. But the object is not moving because another person B is also applying force canceling the force by Person A. What is the force with which person B pulling?

• -vec f
• vec f cos90^@
• vec f sin90^@
• vec f tan90^@

The answer is '-vec f'

Progress

Progress

What does 'inverse' mean?
same;identical;similar
same; identical; similar
opposite;converse
opposite; converse
Consider two vectors ; vector a = 1 point 1 i minus 2 j and vector b = minus 1 point 1 i + 2 j. What will be vector a + vector b?
vector
vector 0
i;j
0i+0j
all;above
all the above
The answer is "All the above". For any vector a there is an inverse minus a, and when these are added the sum is additive identity, vector 0.
negative of a vector - Additive inverse.
Additive Inverse: For any vector a in vector space V, there is an additive inverse vector minus vector a in V, such that vector a plus, minus vector a = vector 0
A person A is pulling an object with force vector f. But the object is not moving because another person B is also applying force canceling the force by Person A. What is the force with which person B pulling?
1
2
3
4
The answer is "minus vector f"

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