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Thought-Process to Discover Knowledge

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nub,

trek,

jogger,

exercise.

User Guide

nub is the simple explanation of the concept.

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exercise provides practice problems to become fluent in the concepts.

This part does not have much content as of now. Over time, when resources are available, this section will have curated and exam-prep focused questions to test your knowledge.

summary of this topic

### Properties of Vector Addition

Voice

Voice

Home

»  additive inverse of a vector vec p is -vec p.

### Vector Additive Inverse

plain and simple summary

nub

plain and simple summary

nub

dummy

•  negative of a vector - Additive inverse

simple steps to build the foundation

trek

simple steps to build the foundation

trek

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In this page, vector additive inverse is explained.

Keep tapping on the content to continue learning.
Starting on learning "Vector Additive Inverse". ;; In this page, vector additive inverse is explained.

What does 'inverse' mean?

• same; identical; similar
• opposite; converse

The answer is 'opposite; converse'.

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

• the additive identity
• vec 0
• 0i+0j
• 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.

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

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

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

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

The answer is '-vec f'

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Progress

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Progress

What does 'inverse' mean?
same;identical;similar
same; identical; similar
opposite;converse
opposite; converse
The answer is 'opposite; converse'.
Consider two vectors ; vector a = 1 point 1 i minus 2 j and vector b = minus 1 point 1 i + 2 j. What will be vector a + vector b?
additive;identity
the additive identity
vector
vector 0
i;j
0i+0j
all;above
all the above
The answer is "All the above". For any vector a there is an inverse minus a, and when these are added the sum is additive identity, vector 0.
negative of a vector - Additive inverse.
Additive Inverse: For any vector a in vector space V, there is an additive inverse vector minus vector a in V, such that vector a plus, minus vector a = vector 0
A person A is pulling an object with force vector 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?
1
2
3
4
The answer is "minus vector f"

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