Please help with these homework problems. Show all work so I can retrace steps.

10. (18 pts) Let D = (4,2) and w = (1, -3). (Work required only for parts d and e, on the next page.) (a) Find 75 - 3w and state the result in component form. (b) State the exact magnitude (length) of T and the exact magnitude of w. (c) State the dot product v . w. (d) Find projw () in component form. Give exact values. Show work.(e) Determine the angle between v and w. Show work. Write the exact angle as the arccosine of an appropriate number. Also, use a calculator to approximate the value of the angle, rounding the result to the nearest degree