If the vector field is rotating counterclockwise around the zero (think of the latitude example above), then the index is +1. If it's rotating clockwise, the index is -1. To get something of index ...

When you think of a vector, many people probably call up Vector's definition (from Despicable Me). He says: It's a mathematical term. A quantity represented by an arrow with both direction and ...

All I did was to put the vector symbol over the zero. This makes it "the zero vector". In three dimensions it has the components 0 m/s, 0 m/s, 0 m/s. It is not a scalar.