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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.
mathsVector AlgebraProperties of Vector Multiplication by Scalar

### Multiplication by Product of Scalars

In this page, multiplication of a vector by product of scalars is explained.

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Given that vec p = ai+bj+ck and lambda, mu where a,b,c,lambda,mu in bbb R, What will be the result of (lambda mu) vec p ?

• lambda(mu vec p)
• lambda(mu vec p)
• lambda vec p mu vec p
• mu vec p

The answer is 'lambda(mu vec p)'. This is proven by multiplying the components individually by the scalar.

•  Multiplication of vector by a product of two scalars is equivalently multiplication by the scalars one by one.

Multiplication by Product of scalars: Given a scalar as product of two scalars lambda mu,
(lambda mu)vec p = lambda(mu vec p)`

slide-show version coming soon