2. problem 4-2. a particle is traveling along an arc of 6.5 inch radius. the arc center is at the origin of a coordinate system. when the particle is at position a, its position vector makes a 45-deg angle with the x axis. at position b, its vector makes a 75-deg angle with the x axis. draw this system to some convenient scale and: a. write an expression for the particle's position vector in position a using complex number notation, in both polar and cartesian forms. b. write an expression for the particle's position vector in position b using complex number notation, in both polar and cartesian forms. c. 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. d. check the result of part c with a graphical method.