Hi,

I need help with these questions below ive tried attempting it but couldnt get anywhere, can you please work out the solutions with steps

Question 3.2 (5 marks) Let z = 2+/3 + 6i a) Express B in polar form. b) Determine (2)8 in polar form, in terms of its principal argument. c) Determine all distinct values of z/*in polar form, in terms of their principal argument. Learning objectives (for your information only): * Use De Moivre's theorem to determine integer powers (positive and negative) of complex numbers in polar form. Show how to determine all of the possible roots of one on the complex plane. * Show how to use De Moivre's theorem to determine the roots of any complex number in polar form. Question 3.3 (4 marks) Let oK I =17+V2k and 121+ 5) a) Compute 3a b b) Find the unit vector in the direction of b. c) Compute the magnitude of a. d) Find the direction angles (using the direction cosines) for a. Learning objectives (for your information only): Use the rules of vector algebra to execute operations with vectors Use appropriate vocabulary for vectors describe size and direction of vectors * Determine direction cosines for a vector