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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.
mathsProperties of Vector ArithmeticsProperties of Dot Product

### Dot Product : No Multiplicative Identity

In this page, you will learn that the vector dot product does not have multiplicative identity.

click on the content to continue..

What does 'identical' mean?

• same; similar; alike
• same; similar; alike
• different; mismatch

The answer is 'same; similar; alike'

What is the multiplicative identity in real numbers - number system?

• 1
• 1
• 0
• -1

The answer is '1'.

For any real number a, a xx 1 = a, so 1 is the multiplicative identity in real numbers.

Given vec p cdot vec q = p_xq_x+p_yq_y+p_zq_z, is there a vector vec r such that vec p cdot vec r = vec p?

•  No multiplicative identity for Dot Product.

Dot Product does not have an Multiplicative Identity: For any vector vec p in bbb V, there is no other vector such that dot product between them is vec p.

slide-show version coming soon