QCEVault

Complex numbers — Question 121

Original QCE Vault practice · 5 marks

Q121 · Practice questionTechnology-freeComplex familiar5 marks

QUESTION 121 (5 marks)

Let z=1−3iz=1-\sqrt{3}i and w=2+2iw=2+2i.
Original diagram for Specialist Mathematics Paper 1 question 11
a)
Express zw\frac{z}{w} in modulus-argument form with principal argument.
[3 marks]
b)
Hence find (zw)4(\frac{z}{w})^{4} in Cartesian form.
[2 marks]
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