Is A Constant Vector Field Conservative?
Is A Constant Vector Field Conservative? The answer is affirmative. A conservative field is a vector field which is the gradient of some function. So, if v is a constant vector field, that is v(x1,…,xn)=(a1,…,an), you can takeF(x1,…,xn)=a1x1+⋯+anxn. What is a constant vector field? To every scalar field s(x,y) there corresponds a ‘constant’ vector field