The zero vector is both parallel and perpendicular to any other vector. V.0 = 0 means zero vector is perpendicular to V and Vx0 = 0 means zero vector is parallel to V.
because it has an orientation(a direction) it also helps later on with certain operations, but it is a vector because it has a length(1) and a direction(whatever that may be)
Vector A is parallel to the cross product of vectors B and C, and it is parallel to the axis that neither B or C lie along if the two other axes are defined as the axes that B and C lie along.
assuming that 2D Vectors are being discussed here. You first need to have the vectors in polar form, then it is as simple as dividing their magnitudes and subtracting one angle from the other. for...