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Thought-Process to Discover Knowledge

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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

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

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figure-out, &

learn.

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nubtrek is designed to explain mathematics and science for young readers. Every topic consists of four sections.

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Vector Addition : Triangular Law

» **sequential addition** of `vec p` and `vec q`

→ the third side of the triangle formed by `vec p` and `vec q`

*plain and simple summary*

nub

*plain and simple summary*

nub

dummy

Two vectors forms a triangle with the sum as the *third side of the triangle*.

*simple steps to build the foundation*

trek

*simple steps to build the foundation*

trek

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In this page, the triangular law of vector addition is explained as sequential addition of vectors.

Starting on learning "Triangular Law of vector addition". ;; In this page, the triangular law of vector addition is explained as sequential addition of vectors.

In a bucket there is `20` liter water and another `10` liter water is poured in. How much water is there in the bucket?

- `20+10`
- `30`
- both the above
- none of the above

Answer is 'both the above'. * Scalar quantities can be added sequentially.*

Two taps simultaneously fill a bucket. one fills at `20` liter per hour and another fills at `10` liter per hour. How much water will the bucket have at the end of an hour?

- `30`
- `20`
- `10`
- none of the above

Answer is '`30`'. *Scalar quantities can be added continuously*.

Summary:

We have seen that two ways scalar quantities can be added - Sequentially and Continuously.

How about vectors?

A person walks for `1` units at `24^@` , then from that point, walks for `2.3` units at `43^@` angle. Addition of these two vectors is an example of ...

- Sequential addition of vectors
- Continuous addition of vectors
- Does not look to be vector addition

The answer is 'sequential addition of vectors' ; at the end of the first vector, the second vector starts and added.

Two vectors are added sequentially as given in the figure. What is the result of the addition?

- the third side of triangle
- it does not make a triangle.

Answer is 'the third side of the triangle'.

*comprehensive information for quick review*

Jogger

*comprehensive information for quick review*

Jogger

dummy

**Triangular Property of vector addition: ** When two vectors are added, arrange the initial point of the second vector to the terminal point of the first vector. In that position, complete the triangle with the two vectors as the two sides. The third side, connecting initial point of the first vector and the terminal point of the second vector, is the sum of the two vectors.

*practice questions to master the knowledge*

Exercise

*practice questions to master the knowledge*

Exercise

*your progress details*

Progress

*About you*

Progress

In a bucket there is 20 liter water and another 10 liter water is poured in. How much water is there in the bucket?

1

2

3

4

The answer is "both the above". Scalar quantities can be added sequentially.

Two taps simultaneously fill a bucket. one fills at 20 liter per hour and another fills at 10 liter per hour. How much water will the bucket have at the end of an hour?

30

30

20

20

10

10

none;above

none of the above

The answer is "30". Scalar quantities can be added continuously.

Summary: We have seen that two ways scalar quantities can be added - Sequentially and Continuously. ;; How about vectors?

A person walks for 1 unit at 24 degree , then from that point, walks for 2 point 3 units at 43 degree angle. Addition of these two vectors is an example of ...

sequential

Sequential addition of vectors

continuous

Continuous addition of vectors

does;not;look

Does not look to be vector addition

The answer is "sequential addition of vectors". at the end of the first vector, the second vector starts and added.

Two vectors are added sequentially as given in the figure. What is the result of the addition?

3rd;third;side

the third side of triangle

does;not;make

it does not make a triangle.

Answer is 'the third side of the triangle'.

Two vectors forms a triangle with the sum as the third side of the triangle.

Triangular Property of vector addition: When two vectors are added, arrange the initial point of the second vector to the terminal point of the first vector. In that position, complete the triangle with the two vectors as the two sides. The third side, connecting initial point of the first vector and the terminal point of the second vector, is the sum of the two vectors.