- #1

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## Homework Statement

Can some explain vector a+b must be great than a-b

## Homework Equations

none this is conceptual

## The Attempt at a Solution

I believe this is false because the direction can be + or -. can you explain to your thoughts

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- Thread starter PoohBah716
- Start date

- #1

- 7

- 0

Can some explain vector a+b must be great than a-b

none this is conceptual

I believe this is false because the direction can be + or -. can you explain to your thoughts

- #2

berkeman

Mentor

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It is certainly not true in general (not even for scalars). You would need to constrain a and b more to have something that was true.## Homework Statement

Can some explain vector a+b must be great than a-b

## Homework Equations

none this is conceptual

## The Attempt at a Solution

I believe this is false because the direction can be + or -. can you explain to your thoughts

- #3

- 963

- 214

Can some explain vector a+b must be great than a-b

## Homework Equations

none this is conceptual

## The Attempt at a Solution

I believe this is false because the direction can be + or -. can you explain to your thoughts

as vectors are having

suppose the angle between them is 180 degree-then their addition will give you a vector which is smaller than the magnitude of a vector when you subtract one from another.

however if the angle between them is zero their addition will give you a vector larger than the result after taking a difference.

you can try taking an arbitrary angle between them and find the conditions for which the

- #4

berkeman

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- 9,445

Is it? Not unless you constrain it to positive scalars...as it is true in case of scalars.

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