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Thought-Process to Discover Knowledge

Welcome to **nub****trek**.

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.continue

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.continue

Welcome to **nub****trek**.

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. continue

The content is presented in small-focused learning units to enable you to

think,

figure-out, &

learn.

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.

This captures the small-core of concept in simple-plain English. The objective is to make the learner to think about. continue

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. continue

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. continue

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. continue

Voice

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» 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`

*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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In this page, learn about the distributive property of vector dot product over vector addition.

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

What does 'distributive' mean?

- to share; to spread
- to restrict; to arrest

The answer is 'to share; to spread'

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`'.

*your progress details*

Progress

*About you*

Progress

What does 'distributive' mean?

share;spread

to share; to spread

restrict;arrest

to restrict; to arrest

The answer is 'to share; to spread'

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

The answer is "5"