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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

Voice

Home

» cross product of collinear vectors

→ `theta = 0^@`

→ `sin 0^@ = 0`

→ `vec p xx vec q = vec 0`

*plain and simple summary*

nub

*plain and simple summary*

nub

dummy

• Cross product of parallel vectors is 0 or null vector.

*simple steps to build the foundation*

trek

*simple steps to build the foundation*

trek

You are learning the free content, however do shake hands with a coffee to show appreciation.

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In this page, you will learn about the vector cross product between two collinear vectors.

Starting on learning "cross product between two collinear vectors".

When two vectors are called 'collinear' vectors? `color(coral)(text(co)) + color(deepskyblue)(text(linear))` means `color(coral)(text(together))+color(deepskyblue)(text(on a line))`

- the angle between vectors `0^@`
- the angle between vectors `180^@`
- the vectors are parallel
- all the above

The answer is 'All the above'

Given the definition of cross product as

`vec p xx vec q = |vec p||vec q|sin theta hat n`

What is `vec p xx vec q`, if the given vectors are collinear?

- `|p||q|sin 0 hat n`
- `|p||q|sin 180 hat n`
- `0`
- all the above

The answer is 'all the above'. The angle between Collinear vectors can be either `0^@` or `180^@`. And `sin0 = sin180 = 0`.

Given two non-zero vectors `vec p, vec q in bbb V` have `vec p xx vec q = 0`, then what is the angle between the vectors?

- `0^@`
- `90^@`
- `270^@`
- Any one of the above

The answer is '`0^@`'. It can either be `0^@` or `180^@`.

*comprehensive information for quick review*

Jogger

*comprehensive information for quick review*

Jogger

dummy

**Cross Product of Collinear Vectors: ** For any pair of collinear vectors `vec p, vec q in bbb V`,

`vec p xx vec q =0 `

**Angle between vectors when cross product is `0`:** For any pair of non-zero vectors `vec p, vec q in bbb V`, If `vec p xx vec q = 0` then the vectors are collinear. The angle between them is `0^@` or `180^@`.

*practice questions to master the knowledge*

Exercise

*practice questions to master the knowledge*

Exercise

Given `vec p= 2i+3.1j+.5k` and `vec q = 2i+3.1j+.5k` what is the angle between them?

- `90^@`
- `45^@`
- `180^@`
- `0^@`

The answer is '`0^@`'. The vectors are identical.

Given a vector `vec p` with magnitude `12`, what is `vec p xx vec p`?

- `12`
- `sqrt(12)`
- `12xx12`
- `0`

The answer is '`0`'.

*your progress details*

Progress

*About you*

Progress

When two vectors are called 'collinear' vectors?

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The answer is 'All the above'

Given the definition of cross product as vector p cross vector q = magnitude of p, magnitude of q, sine theta n hat; what is vector p cross vector q, if the given vectors are collinear?

1

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The answer is "either one of the above". The angle between collinear vectors can be either 0 degree or 180 degree. And sine 0 = sine 180 = 0.

Given two non-zero vectors vector p, vector q in vector space v, have vector p cross vector q = 0, then what is the angle between the vectors?

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2

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The answer is "0 degree ". It can either be 0 degree or 180 degree.

Cross product of collinear vectors is 0 or null vector.

Cross Product of Collinear Vectors: For any pair of collinear vectors p, q in vector space v;; vector p cross vector q = 0.

Angle between vectors when cross product is 0 : For any pair of non-zero vectors p, q in vector space v, if vector p cross vector q = 0, then the vectors are collinear. The angle between them is 0 degree or 180 degree.

Given vectors p and q, what is the angle between them?

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2

3

4

The answer is "0 degree". The vectors are identical.

Given vector p with magnitude 12, what is vector p cross vector p?

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2

3

4

The answer is ' 0 '.