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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 Vector Addition

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What does 'inverse' mean?

• same; identical; similar
• opposite; converse
• opposite; converse

Consider two vectors vec a = 1.1i-2j and vec b = -1.1i+2j. What will be vec a+vec b?

• vec 0
• 0i+0j
• all the above
• all the above

The answer is 'All the above'. For any vector vec a there is an inverse -vec a, and when these are added the sum is additive identity vec 0.

•  negative of a vector - Additive inverse

Additive Inverse: For any vector vec a in bbb V there is an additive inverse vector -vec a in bbb V such that
vec a+(-vec a)=vec 0

Solved Exercise Problem:

A person A is pulling an object with force vec f. But the object is not moving because another person B is also applying force canceling the force by Person A. What is the force with which person B pulling?

• -vec f
• -vec f
• vec f cos90^@
• vec f sin90^@
• vec f tan90^@

The answer is '-vec f'

slide-show version coming soon