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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.

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User Guide

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figure-out, &
learn.

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User Guide

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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

### Properties of Cross Product

Voice

Voice

Home

»  cross product of orthogonal vectors

→  theta = 90^@

→  sin 90^@ = 1

→  vec p xx vec q = |vec p||vec q| hat n

### Cross Product of Orthogonal Vectors

plain and simple summary

nub

plain and simple summary

nub

dummy

•  Magnitude of the cross product of orthogonal vectors is the product of the magnitudes of the vectors.

simple steps to build the foundation

trek

simple steps to build the foundation

trek

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Starting on learning "cross product between two Orthogonal Vectors".

When two vectors are called 'orthogonal' vectors? color(coral)(text(orth)) + color(deepskyblue)(text(gonia)) means color(coral)(text(right))+color(deepskyblue)(text(angled))

• have 90^@ angle between them
• perpendicular to each other
• the vectors are right-angled
• 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, when the given vectors are orthogonal?

• |p||q|sin 90 hat n
• (|p||q| xx 1)hat n
• |p||q|hat n
• all the above

The answer is 'All the above'.

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

Cross Product of Orthogonal Vectors: For any pair of orthogonal vectors vec p, vec q in bbb V,
|vec p xx vec q| = |p||q|

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

Progress

Progress

When two vectors are called 'orthogonal' vectors?
90;degree;angle
have 90 degree angle between them
perpendicular
perpendicular to each other
right;vectors
the vectors are right-angled
all;above
all the above
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, when the given vectors are orthogonal?
1
2
3
4
The answer is 'All the above'.
Magnitude of the cross product of orthogonal vectors is the product of the magnitudes of the vectors.
Cross Product of Orthogonal Vectors: For any pair of orthogonal vectors vector p, vector q in vector space v;; magnitude of vector p cross vector q = magnitude of p, magnitude q.

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