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Thought-Process to Discover Knowledge

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User Guide

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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

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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

»  Modulus of cross product is less than or equal to modulus of the vectors

→  |vec p xx vec q | <= |vec p||vec q|

### Property of Modulus in cross product

plain and simple summary

nub

plain and simple summary

nub

dummy

•  Modulus of cross product is less than or equal to the product of modulus of the vectors.

simple steps to build the foundation

trek

simple steps to build the foundation

trek

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Starting on learning "Property of Modulus in cross product". In this page, you will learn about the property of modulus in vector cross product.

What is the modulus of cross product | vec p xx vec q |?

• =|p| xx |q|
• <=|p| xx |q|
• >=|p| xx |q|

The answer is '<=|p| xx |q|'.
vec p xx vec q = |p||q|sin theta hat n
| sin theta |<= 1, so
|p||q|sin theta <= |p||q|
| vec p xx vec q |<=|p| xx |q|

The same can be understood with geometrical meaning as given in figure. vec q = vec a + vec b
|vec q| >= |vec b|
|vec p xx vec q | = |p||b|
|vec p xx vec q | <= |p||q|

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

Modulus Property of cross Product: For any vectors vec p and vec q,
|vec p xx vec q | <= |p||q|

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

Progress

Progress

What is the modulus of cross product?
1
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3
The answer is "less than magnitude of p multiplied magnitude q". Vector p cross vector q = magnitude of p, magnitude q, sine theta n hat. Magnitude of sine theta is less than 1 ;; so the magnitude of cross product is less than product of magnitude of the vectors.
The same can be understood with geometrical meaning as given in figure.
Modulus of cross product is less than or equal to the product of modulus of the vectors.
Modulus Property of cross Product: For any vectors p and q; vector p cross vector q <= magnitude of p, magnitude of q.

we are not perfect yet...