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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

### Properties of Vector Multiplication by Scalar

Voice

Voice

Home

»  magnitude of multiplication of a vector by a scalar is product of magnitudes of scalar and vector
→  |lambda vec p |= |lambda| |vec p|

### Magnitude of a scalar multiple of a vector

plain and simple summary

nub

plain and simple summary

nub

dummy

•  Magnitude of scalar multiple of a vector is product of magnitudes of the scalar and the vector.

simple steps to build the foundation

trek

simple steps to build the foundation

trek

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In this page, you will learn how to find the magnitude of a scalar multiple of a vector.

Keep tapping on the content to continue learning.
Starting on learning the property "Magnitude of a scalar multiple of a vector". ;; In this page, you will learn how to find the magnitude of a scalar multiple of a vector.

What is the magnitude of vec p = ai+bj+ck?

• |vec p|=sqrt(a+b+c)
• |vec p|=sqrt(a^2+b^2+c^2)
• |vec p|=a^2+b^2+c^2

The answer is '|vec p|=sqrt(a^2+b^2+c^2)'

What is the magnitude of lambda vec p if vec p = ai+bj+ck?

• |lambda p| = sqrt((lambda a)^2+(lambda b)^2+(lambda c)^2)
• |lambda p| = sqrt(lambda^2) sqrt(a^2+b^2+c^2)
• |vec p|=|lambda| |vec p|
• all the above

The answer is 'All the above'. The options are the steps to prove that |lambda vec p|=|lambda| |vec p|

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

Magnitude of Scalar Multiple of Vector: Given scalar lambda and vector vec p,
|lambda vec p| = |lambda||vec p|

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

Given |vec p| = 2, what is |-7 vec p|?

• -14
• 14
• 2
• -7

The answer is '14'. |-7 vec p| = |-7||vec p| = 7 xx 2.

Progress

Progress

What is the magnitude of vector p = a i + b j + c k?
1
2
3
The answer is "magnitude of vector p = square root a squared + b squared + c squared"
what is the magnitude of lambda times vector p, if vector p = a i + b j + c k ?
1
2
3
4
The answer is "all the above". The options are the steps to prove that magnitude of lambda vector p ; = ; magnitude of lambda multiplied by magnitude of vector p.
Magnitude of scalar multiple of a vector is product of magnitudes of the scalar and the vector.
Magnitude of Scalar Multiple of Vector: Given scalar lambda and vector p, magnitude of lambda vector p ; = ; magnitude of lambda multiplied by magnitude of vector p
Given that magnitude of vector p = 2, what is magnitude of minus 7 times vector p?
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