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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**.

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think,

figure-out, &

learn.

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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

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» vector addition is associative.

*plain and simple summary*

nub

*plain and simple summary*

nub

dummy

• Order of addition can be changed - associative.

*simple steps to build the foundation*

trek

*simple steps to build the foundation*

trek

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In this page, associative property of vector addition is explained.

Starting on learning "Associative Property of Vector Addition". ;; In this page, associative property of vector addition is explained.

What does 'Associate' mean?

- to connect with; to join
- not to connect

The answer is 'to connect with; to join'

When three vectors are added,

• Person A *associates* the middle vector with first vector and, to the result of that, he adds the third vector `(vec a + vec b) + vec c`

• Person B *associates* the middle vector with third vector and to that she adds the first vector `vec a + (vec b + vec c)` Will the two persons get different results?

- They will get different results
- They will get identical results

The answer is 'They will get identical results'. Considering that the components of vectors are real numbers, the order of additions does not change the result of addition.

*comprehensive information for quick review*

Jogger

*comprehensive information for quick review*

Jogger

dummy

**Associative Property of Vector Addition: ** Any vectors `vec a, vec b, vec c in bbb V`,

`(vec a+vec b)+vec c`

`quad quad = vec a + (vec b + vec c)`

*practice questions to master the knowledge*

Exercise

*practice questions to master the knowledge*

Exercise

Which of the following equals `vec x + vec y + vec x`?

- `vec x + vec y`
- `vec x + vec x + vec y`
- `vec y + vec x`
- `vec y + vec y + vec x`

The answer is '`vec x + vec x + vec y`'

*your progress details*

Progress

*About you*

Progress

What does 'Associate' mean?

with;join

to connect with; to join

not

not to connect

The answer is 'to connect with; to join'

When three vectors are added, ;; Person A associates the middle vector with first vector and, to the result of that, he adds the third vector ; vector a plus vector b ;; plus vector c ;; Person B associates the middle vector with third vector and to that she adds the first vector; vector a + ;; (vector b + vector c) ;; Will the two persons get different results?

different

They will get different results

identical

They will get identical results

The answer is 'They will get identical results'. Considering that the components of vectors are real numbers, the order of additions does not change the result of addition.

Order of addition can be changed - associative.

Associative Property of Vector Addition: Any vectors ; vector a , vector b, vector c in vector space v ;; vector a plus vector b ;; plus vector c ; = vector a ;; plus vector b plus vector c

Which of the following equals vector x plus vector y + vector x ?

1

2

3

4

The answer is "vector x plus vector x plus vector y"