2021HSCMultiple choice

Q10

1 mark

Question

Consider the two non-zero complex numbers $z$ and $w$ as vectors. Which expression is the projection of $z$ onto $w$ ?

A. $\frac{\operatorname{Re}(zw)}{|w|}w$
B. $\left|\frac zw\right|w$
C. $\operatorname{Re}\left(\frac zw\right)w$
D. $\frac{\operatorname{Re}(z)}{|w|}w$

Try the question before revealing the answer.

Syllabus alignment

Complex Numbers

Geometrical implications of complex numbersInterpret complex-number operations geometrically and solve problems involving roots and loci in the complex plane.

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