Any vector can be expressed as a sum of a number of other vectors. The vectors which are summed are called the components of the original vector. When you want to add and subtract two dimensional ...

When adding vector quantities remember that the directions have to be taken into account. The result of adding vectors together is called the resultant. In problems, vectors may be added together by ...

Subtracting a vector is the same as adding a negative version of the vector (remember that making a vector negative means reversing its direction). \(\left( \begin ...

This note studies Hardy-type inequalities for vector fields with the L¹ norm of the operator curl. In contrast to the well-known results in the whole space for the divergence-free vector fields, we ...