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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

»  multiplication of a vector by a scalar is equivalently multiplication of scalar by the vector
→  lambda vec p = vec p lambda

### Order of Scalar Multiplication

plain and simple summary

nub

plain and simple summary

nub

dummy

•  Multiplication of a vector by a scalar is equivalently multiplication of a scalar by a vector. (Note: This is not called "commutative property".)

simple steps to build the foundation

trek

simple steps to build the foundation

trek

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In this page, you will learn about order of multiplication : multiplication of a vector by a scalar and multiplication of a scalar by a vector.

Keep tapping on the content to continue learning.
Starting on learning the property "Order of Scalar Multiplication". ;; In this page, you will learn about order of multiplication : multiplication of a vector by a scalar and multiplication of a scalar by a vector.

What is the difference between
•  Multiplication of a scalar by a vector
•  Multiplication of a vector by a scalar ?

• both are identical
• multiplication of a scalar by a vector is not defined

The answer is 'both are identical'. The multiplication of a scalar by a vector is not observed in practical applications. But with mathematical abstraction, it is defined.

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

Order in Multiplication by scalar: Given a scalar lambda and vector vec p
lambda vec p = vec p lambda

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

Given vec p= 2.1i+1.5j-3k what is the value of vec p 2?

• 2.1i+1.5j-3k2
• 2.1i+1.5j-6k
• 4.2i+3j-6k

The answer is '4.2i+3j-6k'.

Progress

Progress

What is the difference between; Multiplication of a scalar by a vector; Multiplication of a vector by a scalar?
both;identical
both are identical
multiplication;scalar;vector;not
multiplication of a scalar by a vector is not defined
The answer is 'both are identical'. The multiplication of a scalar by a vector is not observed in practical applications. But with mathematical abstraction, it is defined.
Multiplication of a vector by a scalar is equivalently multiplication of a scalar by a vector. ;; Note: This is not called commutative property.
Order in Multiplication by scalar: Given a scalar lambda and vector p ;; lambda multiplied vector p , = , vector p multiplied lambda
Given vector p = 2 point 1 i + 1 point 5 j minus 3 k , what is the value of vector p multiplied by 2?
1
2
3
The answer is "4 point 2 i + 3 j minus 6 k"

we are not perfect yet...