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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

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»  magnitude of sum of two vectors is less than or equal to sum of magnitudes of the vectors.

### Magnitude Property of Vector Addition

plain and simple summary

nub

plain and simple summary

nub

dummy

•  magnitude of sum is less than or equal to sum of magnitudes - Magnitude property of Addition.

simple steps to build the foundation

trek

simple steps to build the foundation

trek

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In this page, relation between magnitude of vectors and the magnitude of sum of the vectors is explained.

Keep tapping on the content to continue learning.
Starting on learning "Magnitude Property of Vector Addition". ;; In this page, relation between magnitude of vectors and the magnitude of sum of the vectors is explained.

Triangular law of vector addition states that the “Two vectors form a triangle with the sum as the third side of the triangle”. Using the results learned in geometry: Sum of length of any two sides of a triangle is ....

• greater than the third side
• equal to the third side
• less than the third side

The answer is 'Greater than the third side'. It is noted that the length of sides of the triangle are magnitudes of the vectors.

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

Magnitude property: For any vector vec a, vec b in bbb V
|vec a+vec b|<=|vec a|+|vec b|

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

Given that the magnitudes of two collinear vectors are 2.4 and 4.2, what would be the magnitude of the sum of the two vectors?

• =6.6
• !=6.6
• <=6.6
• >=6.6

The answer is '=6.6'. The vectors are collinear and so, the vectors are in the same direction. In that case, the sum of magnitude equals magnitude of sum.

Progress

Progress

Triangular law of vector addition states that the “Two vectors form a triangle with the sum as the third side of the triangle. Using the results learned in geometry: Sum of length of any two sides of a triangle is ...
greater
greater than the third side
equal
equal to the third side
less
less than the third side
The answer is 'Greater than the third side'. It is noted that the length of sides of the triangle are magnitudes of the vectors.
magnitude of sum is less than or equal to sum of magnitudes - Magnitude property of Addition.
Magnitude property: For any vectors, vector a, vector b in vector space V, magnitude of vector a plus vector b , less than or equal to , magnitude of vector a plus magnitude of vector b.
Given that the magnitudes of two collinear vectors are 2 point 4 and 4 point 2, what would be the magnitude of the sum of the two vectors?
1
2
3
4
The answer is "= 6 point 6". The vectors are collinear and so, the vectors are in the same direction. In that case, the sum of magnitude equals magnitude of sum.

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