Are Vector Fields Vector Spaces? You can multiply the elements of a field together. Generally you cannot do this with a vector space, but you can multiply elements of a vector space by elements from the underlying field. In this way, every field is a vector space over itself. In fact, every field is a
Can Electric Field Lines Be Straight In Non Uniform Field? The electric field can be represented by drawing what is called the lines of force. They can be straight or curved. Why electric field lines are not straight? If the lines cross each other at a given location, then there must be two distinctly different
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
What Are Vector Fields Used For? Vector fields represent fluid flow (among many other things). They also offer a way to visualize functions whose input space and output space have the same dimension. What are the properties of vector field? Vector fields arise in mathematical representations of physical concepts, such as velocity, acceleration, and force