For 10 points, name these objects which have both magnitude and direction.
One of these objects is coordinate system invariant if its components contra-vary with the change of basis. Three of them form the standard basis for a three-dimensional Euclidean space. They can be added using the parallelogram rule, and the right-hand rule is used to determine the direction of the cross product of two of them. They also have a dot product, the result of which is a scalar. For 10 points, name these objects which have both magnitude and direction.
One of these objects is coordinate system invariant if its components contra-vary with the change of basis.
vectors