Question

1) What are the domain and the range of a vector field over R?? Draw an example of a vector field for R2

Answer 1

Solo Domwn 4 Punge Ai the vector field over 22. Let I be used in ce? A vector field on 1R2 is a function F that assigns to each paint (19) of D a two dimensional Vector Florys.in other word it is a found of the form Fi 12? (24) F(HY) = <p62,.5 (2.9)) where pfe are real valued funn we can also written as Peary)=pcarry) itelre,y) j example Discribe the vector fied given by Fcae,y)=(-4, ) field we can fiest plot some of the rectors in the vector for this, we take some sample points carry) , compute the vector . F cany) then drow the vector F (219) , starting at the point cary) (not origin like we usually doraw vectors) let's do it for a few points. Ato):F(1,0)=20,l) so from the poin uo) we draw the vector con =3. o ish -5 -4 -3 - I 7