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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.

User Guide

Welcome to nubtrek.

The content is presented in small-focused learning units to enable you to
think,
figure-out, &
learn.

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User Guide

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.

User Guide

nub is the simple explanation of the concept.

This captures the small-core of concept in simple-plain English. The objective is to make the learner to think about.

User Guide

trek is the step by step exploration of the concept.

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.

User Guide

jogger provides the complete mathematical definition of the concepts.

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.

User Guide

exercise provides practice problems to become fluent in the concepts.

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.

summary of this topic

### Vector Cross Product

Voice

Voice

Home

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

### Cross Product : Area of Parallelogram

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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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'

Progress

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'

we are not perfect yet...