Consider two vectors, A~ = 3.00ˆx + 2.50ˆy and B~ = 1.50ˆx − 2.00ˆy. (a) Calculate the magnitude of each vector. (b) Express the difference B~ − A~ in terms of the Cartesian unit vectors ˆx and ˆy. (c) Find the magnitude and direction of B~ − A~ and express the direction as an angle relative to ˆx. 7. (a) Find the scalar product of the two vectors from the previous problem. Note that the scalar product yields a scalar result (one component). (b) Find the vector product of the two vectors. Note that the vector product yields a vector result (three components). (c) Find the angle between them.