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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.

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mathsVector AlgebraProperties of Cross Product

### Cross Product : No Multiplicative Identity

In this page, learn that the vector cross 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 that vec p xx vec q is perpendicular to vec p for any vec q, is there a vector vec r such that vec p xx vec r = vec p?

•  No multiplicative identity for Cross Product.

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

slide-show version coming soon