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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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Welcome to nubtrek.

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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,

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  exercise.

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User Guide    

nub is the simple explanation of the concept.

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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. continue

User Guide    

jogger provides the complete mathematical definition of the concepts.

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exercise provides practice problems to become fluent in the concepts.

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summary of this topic

Properties of Vector Multiplication by Scalar

Properties of Vector Multiplication by Scalar

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 »  multiplication of a vector by a scalar is equivalently multiplication of scalar by the vector
    →  `lambda vec p = vec p lambda`

Order of Scalar Multiplication

plain and simple summary

nub

plain and simple summary

nub

dummy

 •  Multiplication of a vector by a scalar is equivalently multiplication of a scalar by a vector. (Note: This is not called "commutative property".)

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 order of multiplication : multiplication of a vector by a scalar and multiplication of a scalar by a vector.


Keep tapping on the content to continue learning.
Starting on learning the property "Order of Scalar Multiplication". ;; In this page, you will learn about order of multiplication : multiplication of a vector by a scalar and multiplication of a scalar by a vector.

What is the difference between
 •  Multiplication of a scalar by a vector
 •  Multiplication of a vector by a scalar ?

  • both are identical
  • multiplication of a scalar by a vector is not defined

The answer is 'both are identical'. The multiplication of a scalar by a vector is not observed in practical applications. But with mathematical abstraction, it is defined.

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

Order in Multiplication by scalar: Given a scalar `lambda` and vector `vec p`
`lambda vec p = vec p lambda`



           

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

Given `vec p= 2.1i+1.5j-3k` what is the value of `vec p 2`?

  • `2.1i+1.5j-3k2`
  • `2.1i+1.5j-6k`
  • `4.2i+3j-6k`

The answer is '`4.2i+3j-6k`'.

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What is the difference between; Multiplication of a scalar by a vector; Multiplication of a vector by a scalar?
both;identical
both are identical
multiplication;scalar;vector;not
multiplication of a scalar by a vector is not defined
The answer is 'both are identical'. The multiplication of a scalar by a vector is not observed in practical applications. But with mathematical abstraction, it is defined.
Multiplication of a vector by a scalar is equivalently multiplication of a scalar by a vector. ;; Note: This is not called commutative property.
Order in Multiplication by scalar: Given a scalar lambda and vector p ;; lambda multiplied vector p , = , vector p multiplied lambda
Given vector p = 2 point 1 i + 1 point 5 j minus 3 k , what is the value of vector p multiplied by 2?
1
2
3
The answer is "4 point 2 i + 3 j minus 6 k"

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