Quiz 23 (Section 11.7, 11.8) Section 11.7; 1. Let z = 3 - 3i a) Plot z in the complex plane. Find Re(z), Im(z), |z|, and Arg(z) C) Find the polar form of z d) Use DeMoivre's Theorem to find z*. Write your answer in rectangular form. 2. Find the cube roots of z = -8i. Write your answers in rectangular form.Section 11.8: 3. Use the vectors u = 2i - 3j. v = -2i - 4j, and w = 3i - j a) Find u + (v - W) b) Find 4v - Zu 4. Use the given magnitude and direction in standard position, write the vector in component form a) [vl = 8, 8 = 30 b) |v[ = 12, 0 = 2250 5. A boat leaves the marina and sails 6 miles north, then 2 miles northeast. How far from the marina is the boat, and in what direction must it sail to head directly back to the marina