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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 is distributive over vector addition
→  vec p cdot (vec q + vec r)   = vec p cdot vec q   + vec p cdot vec r

### Distributive Property over Vector Addition

plain and simple summary

nub

plain and simple summary

nub

dummy

•  Dot product of sum of vectors is sum of dot products with the vectors - Distributive.

simple steps to build the foundation

trek

simple steps to build the foundation

trek

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Starting on learning the property "vector dot product is Distributive over Vector Addition".

What does 'distributive' mean?

• to restrict; to arrest

Given the definition of dot product as
vec p cdot vec q = p_xq_x+p_yq_y+p_zq_z
What is vec p cdot (vec q+vec r)

• vec p cdot ((q_x+r_x)i+(q_y+r_y)j+(q_z+r_z)k)
• p_x(q_x+r_x)+p_y(q_y+r_y)+p_z(q_z+r_z)
• vec p cdot vec q + vec p cdot vec r
• all the above

The answer is 'all the above'.

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

Distributive Property: For any given vectors vec p, vec q, vec r in bbb V
color(coral)(vec p) cdot (vec q + vec r) = color(coral)(vec p) cdot vec q + color(coral)(vec p) cdot vec r

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

If the dot products of two vectors vec a and vec b with a third vector vec c are 2 and 3, what is vec c cdot (vec a + vec b) ?

• 5
• 6
• 2/3
• 3/2

Answer is '5'.

Progress

Progress

What does 'distributive' mean?
restrict;arrest
to restrict; to arrest
Given the definition of dot product as vector p dot vector q = p x q x + p y q y + p z q z, what is vector p dot, vector q + vector r?
1
2
3
4
The answer is 'all the above'.
Dot product of sum of vectors is sum of dot products with the vectors - Distributive.
Distributive Property: For any given vectors p, q, r, in vector space v ;; vector p dot vector q + vector r =, vector p dot vector q,+, vector p dot vector r.
If the dot products of two vectors a and b with a third vector c are 2 and 3. What is vector c dot vector a + vector b?
1
2
3
4