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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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think,
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

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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

»  cross product with a null vector
→  vec p xx vec 0 = vec 0

### Cross product with a null vector

plain and simple summary

nub

plain and simple summary

nub

dummy

•  Cross product with a null vector results in a null vector.

simple steps to build the foundation

trek

simple steps to build the foundation

trek

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Starting on learning "Cross product with a null vector". ;; In this page, you will learn about vector cross product with a null vector.

What is a null vector or zero vector?

• A vector of magnitude 0
• 0i+0j+0k
• vec 0
• 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 0)?

• null vector
• vec p

The answer is 'Null Vector' As |vec 0| = 0, the cross product is 0.

Given the definition of cross product as
vec p xx vec q = |(i, j, k),(p_x, p_y, p_z),(q_x, q_y, q_z)|
What is vec p xx (vec 0)?

• vec 0
• vec p
• p_x+p_y+p_z
• all the above

The answer is 'vec 0' As all the x, y, z components of vec 0 is 0, the cross product is 0.

Cross product with null vector: For any vector vec p in bbb V
vec p xx vec 0 = 0

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

Given that vec x has unknown magnitude and direction. What is the result of vec 0 xx vec x?

• unknown
• -vec(x)
• vec 0

The answer is 'vec 0'.

Progress

Progress

What is a null vector or zero vector?
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The answer is 'All the above'
Given the definition of cross product as vector p cross vector q =, magnitude p, magnitude q sine theta, n hat;; what is vector p cross vector 0?
null
null vector
vector
vector p
The answer is "Null Vector". As the magnitude of vector 0 is 0, the cross product is 0.
Given the definition of cross product as vector p cross vector q given in determinant form, what is vector p cross vector 0?
1
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The answer is "vector 0", As all the x, y, z components of vector 0 is 0, the cross product is 0.
Cross product with a null vector results in a null vector.
Cross product with null vector: For any vector vector p in vector space v;; vector p cross vector 0, = 0.
Given that vector x has unknown magnitude and direction. What is the result of vector 0 cross vector x?
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