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Thought-Process to Discover Knowledge

Welcome to nubtrek.

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.continue

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.



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

  • both are identical
  • 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.

 •  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 `vec p`
`lambda vec p = vec p lambda`

Solved Exercise Problem:

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`
  • `4.2i+3j-6k`

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

                            
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