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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 multiplicative inverse

### Dot Product : No Multiplicative Inverse

plain and simple summary

nub

plain and simple summary

nub

dummy

•  Dot product is not invertible - No multiplicative inverse and no definition of division.

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 dot product does not have a multiplicative inverse.

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

What does 'inverse' mean?

• same; identical; similar
• opposite; converse

For two vectors vec p and vec q, the vector dot product is given by multiplication of
•  magnitude of one vector and
•  the magnitude of the component of second vector in parallel to the first vector

vec p cdot vec q = |p| |a|
where |a| is the component of vec q in the direction of vec p.

Given vec p cdot vec q and vec p can vec q be calculated?

What is division?

• inverse of multiplication
• does not have any relation to multiplication

The answer is 'inverse of multiplication'.

Since dot product is not invertible, the inverse of dot product -- a division -- is not defined.

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

Dot Product - No Multiplicative Inverse: For any vector vec p, vec q in bbb V it is not possible to calculate vec q using the values vec p and vec p cdot vec q.

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

Progress

Progress

What does 'inverse' mean?
same;identical;similar
same; identical; similar
opposite;converse
opposite; converse
For two vectors p and q, the vector dot product is given by multiplication of ; magnitude of one vector and the magnitude of the component of the second vector in parallel to the first vector. ;; vector p dot vector q = magnitude of p multiplied magnitude of a, where magnitude of a is the component of vector q in the direction of vector p. ;; Given vector p dot vector q and vector p, can vector q be calculated?
What is division?
inverse
inverse of multiplication
does;not;have
does not have any relation to multiplication
The answer is 'inverse of multiplication'.
Since dot product is not invertible, the inverse of dot product -- a division -- is not defined.
Dot product is not invertible - No multiplicative inverse and no definition of division.
Dot Product - No Multiplicative Inverse: For any vector p, q in vector space v, it is not possible to calculate vector q using the values vector p and vector p dot vector q.

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