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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 Dot Product

Voice

Voice

Home

»  vector dot product does not have a multiplicative identity

### Dot Product : No Multiplicative Identity

plain and simple summary

nub

plain and simple summary

nub

dummy

•  No multiplicative identity for Dot Product.

simple steps to build the foundation

trek

simple steps to build the foundation

trek

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In this page, you will learn that the vector dot product does not have multiplicative identity.

Keep tapping on the content to continue learning.
Starting on learning "no multiplicative identity in vector dot product". ;; In this page, you will learn that the vector dot product does not have multiplicative identity.

What does 'identical' mean?

• same; similar; alike
• different; mismatch

The answer is 'same; similar; alike'

What is the multiplicative identity in real numbers - number system?

• 1
• 0
• -1

The answer is '1'.

For any real number a, a xx 1 = a, so 1 is the multiplicative identity in real numbers.

Given vec p cdot vec q = p_xq_x+p_yq_y+p_zq_z, is there a vector vec r such that vec p cdot vec r = vec p?

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

Dot Product does not have an Multiplicative Identity: For any vector vec p in bbb V, there is no other vector such that dot product between them is vec p.

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

Progress

Progress

What does 'identical' mean?
same;similar;alike
same; similar; alike
different;mismatch
different; mismatch
The answer is 'same; similar; alike'
What is the multiplicative identity in real numbers - number system?
1
2
3
The answer is "1". For any real number a, a multiplied 1 = a. So 1 is the multiplicative identity in real numbers.
Given vector p dot vector q = p x q x + p y q y + p z q z, is there a vector r such that vector p dot vector r = vector p?
No multiplicative identity for Dot Product.
Dot Product does not have an Multiplicative Identity: For any vector p in vector space v, there is no other vector such that dot product between them is vector p.

we are not perfect yet...