In this page, vector additive inverse is explained.

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What does 'inverse' mean?

- same; identical; similar
- opposite; converse
- 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
- 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`'

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