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

9. (10 pts) An airplane proceeds at a bearing of $30.E, flying at 540 miles per hour. (no explanations required) (a) State the angle in standard position which corresponds to the bearing $30 E. (b) Find the easterly and southerly components of the airplane's velocity. That is, find the component form of the vector which has a magnitude of 540 and makes the angle @ with the positive x-axis. (Use the value of 0 you stated in part (a).) State the exact values and also give approximations to the nearest mile per hour. page.) 10. (18 pts) Let u = (4,2) and w = (1, -3). (Work required only for parts d and e, on the next (a) Find 7v - 3w and state the result in component form. (b) State the exact magnitude (length) of u and the exact magnitude of w. (c) State the dot product v . w. (d) Find projw (v) 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