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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.

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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

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

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Voice

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» vector dot product with null vector

→ `vec p cdot vec 0 = 0`

*plain and simple summary*

nub

*plain and simple summary*

nub

dummy

• Dot product with a null vector results in a null vector.

*simple steps to build the foundation*

trek

*simple steps to build the foundation*

trek

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In this page, you will learn about the result of vector dot product with a null vector.

Starting on learning "Dot product with a null vector". ;; In this page, you will learn about the result of vector dot product with a null vector.

What is a null vector or zero vector?

- A vector of magnitude `0`
- `0i+0j+0k`
- `vec 0`
- all the above

The answer is 'All the above'

Given the definition of dot product as

`vec p cdot vec q = |vec p||vec q|cos theta`

What is `vec p cdot (vec 0)`?

- null vector
- `vec p`
- `|vec p|`
- all the above

The answer is 'Null Vector' As `|vec 0| = 0`, the dot product is `0`.

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 0)`?

- `vec 0`
- `vec p`
- `p_x+p_y+p_z`
- all the above

The answer is '`vec 0`' As all the x, y, z components of `vec 0` is `0`, the dot product is `0`.

** Dot product with null vector: ** For any vector `vec p in bbb V`

`vec p cdot vec 0 = 0`

*comprehensive information for quick review*

Jogger

*comprehensive information for quick review*

Jogger

dummy

*practice questions to master the knowledge*

Exercise

*practice questions to master the knowledge*

Exercise

Given that `vec x` has unknown magnitude and direction. What is the result of `vec 0 cdot vec x`?

- unknown
- `0`
- `vec 0`

The answer is '`0`'.

*your progress details*

Progress

*About you*

Progress

What is a null vector or zero vector?

1

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The answer is 'All the above'

Given the definition of dot product as vector p dot vector q = magnitude of vector p multiplied magnitude of vector q cos theta, what is vector p dot vector 0?

1

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3

4

The answer is "Null vector", As magnitude of vector 0 = 0, the dot product is 0.

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 0?

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The answer is "vector 0". As all the x y z components of vector 0 is 0, the dot product is 0.

Dot product with a null vector results in a null vector.

Dot product with null vector: for any vector p in vector space v ;; vector p dot vector 0 = 0.

Given that vector x has unknown magnitude and direction, what is the result of vector 0 dot vector x?

1

2

3

The answer is ' 0 '.