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2020 Mathematics Extension 2 Q11 (a) (ii) | Atlas

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2020HSCShort answer

Q11 (a) (ii)

2 marks

Question

Consider the complex numbers $w=-1+4i$ and $z=2-i$ . Evaluate $w\bar{z}$ .

Try the question before revealing the answer.

Solution

Marks:
2 - Provides correct solution
1 - Correctly obtains $z$ OR Correctly evaluates $wz$

Sample answer:
$w\bar{z}=(-1+4i)(2+i)=-2-4+8i-i=-6+7i$

Supplied marking guidance · human reviewed

Compare this with your working, not only your final sentence.

Syllabus alignment

Complex Numbers

Arithmetic of complex numbersRepresent and calculate with complex numbers in Cartesian form, including conjugates, division, reciprocals and square roots.

Source

2020 HSC Mathematics Extension 2 Test 2NESAQuestion paper page 6Guidance page 2

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