- #1

deanachuz

- 1

- 0

How can I prove that the set of all planar vector fields forms a vector space? Thanks for any input!

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter deanachuz
- Start date

- #1

deanachuz

- 1

- 0

How can I prove that the set of all planar vector fields forms a vector space? Thanks for any input!

- #2

Simon Bridge

Science Advisor

Homework Helper

- 17,874

- 1,657

You need to start with the definition of a planar vector field - how would you tell if a particular field were a member of the set?

Then you need to compare this with the definition of a vector space ... which operations on planar vector fields would correspond to the different vector operations.

Presumably you've already seen how to do this with some examples that don't seem, at first glance, to be vectors ... like polynomials?

- #3

mathwonk

Science Advisor

Homework Helper

- 11,391

- 1,630

if V is a vector space and S is a set, then the set of functions S-->V is a vector space.

Share:

- Last Post

- Replies
- 4

- Views
- 245

MHB
Vector space

- Last Post

- Replies
- 4

- Views
- 820

- Last Post

- Replies
- 7

- Views
- 555

- Last Post

- Replies
- 9

- Views
- 682

- Replies
- 3

- Views
- 393

- Last Post

- Replies
- 2

- Views
- 989

- Last Post

- Replies
- 24

- Views
- 858

- Last Post

- Replies
- 7

- Views
- 928

- Last Post

- Replies
- 7

- Views
- 562

- Last Post

- Replies
- 2

- Views
- 584