A particle is traveling along an arc of 6.5-in radius. The arc is the origin of a coordinate system. When the particle is at position A, its position vector makes a 45 angle with the X axis. At position B, its vector makes a 75 angle with the X axis. Write the expression for the positions A and B using complex numbers. Write a vector equation for the position difference between points B and A. Substitute the complex number notation for the vectors in this equation and solve for the position difference numerically.