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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 Cross Product

### Cross Product of Orthogonal Vectors

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When two vectors are called 'orthogonal' vectors? color(coral)(text(orth)) + color(deepskyblue)(text(gonia)) means color(coral)(text(right))+color(deepskyblue)(text(angled))

• have 90^@ angle between them
• perpendicular to each other
• the vectors are right-angled
• all the above
• all the above

The answer is 'All the above'

Given the definition of cross product as
vec p xx vec q = |vec p||vec q|sin theta hat n
What is vec p xx vec q, when the given vectors are orthogonal?

• |p||q|sin 90 hat n
• (|p||q| xx 1)hat n
• |p||q|hat n
• all the above
• all the above

The answer is 'All the above'.

•  Magnitude of the cross product of orthogonal vectors is the product of the magnitudes of the vectors.

Cross Product of Orthogonal Vectors: For any pair of orthogonal vectors vec p, vec q in bbb V,
|vec p xx vec q| = |p||q|

slide-show version coming soon