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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.

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Vector Cross Product : Area of Parallelogram Form

» component in perpendicular is calculated by the angle

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

→ Note that `|vec b| = |vec q| sin theta`

→ `|vec p||vec b|` is the area of parallelogram with sides `vec p` and `vec q`

*plain and simple summary*

nub

*plain and simple summary*

nub

dummy

Vector cross product can be used to find **area of the Parallelogram** made by two vectors.

*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 computing area of a parallelogram using vector cross product.

Starting on learning "cross product as area of parallelogram". ;; In this page, you will learn about computing area of a parallelogram using vector cross product.

Vector cross product is understood as product between components in perpendicular. in the figure, What is the magnitude of `vec p xx vec q` ?

- the area of the parallelogram OLMN
- the perimeter of the parallelogram OLMN

The answer is 'the area of the parallelogram OLMN'.

Area of a parallelogram = base `xx` height

The base is `|p|` and the height is `|b|`.

*comprehensive information for quick review*

Jogger

*comprehensive information for quick review*

Jogger

dummy

**Area of a Parallelogram made by two vectors: ** Given `vec p` and `vec q`, the area of the parallelogram made by them is

`= |vec p xx vec q|`

*practice questions to master the knowledge*

Exercise

*practice questions to master the knowledge*

Exercise

Two vectors `vec p` and `vec q` with magnitudes `2` and `3` respectively are at an angle `30^@`. What is the area of the parallelogram made by `vec p` and `vec q`?

- `2 xx 3 xx sin 30^@`
- `2 xx 3 xx 1/2`
- `3`
- all the above

The answer is 'All the above'

*your progress details*

Progress

*About you*

Progress

Vector cross product is understood as product between components in perpendicular. in the figure, What is the magnitude of vector p cross vector q?

area

the area of the parallelogram OLMN

perimeter

the perimeter of the parallelogram OLMN

The answer is "the area of the parallelogram OLMN". Area of a parallelogram = base multiplied height. The base is magnitude of p and height is magnitude of b.

Vector cross product can be used to find area of the Parallelogram made by two vectors.

Area of a Parallelogram made by two vectors: Given vector p and vector q, the area of the parallelogram made by them is vector p cross vector q.

Two vectors p and q with magnitudes 2 and 3 respectively are at an angle 30 degree. What is the area of the parallelogram made by vector p and vector q?

1

2

3

4

The answer is 'All the above'