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2021 HSC Mathematics Extension 1

Question 11(a):
Vectors

1 markvectors

Find .

How to recognise this question

Question type: vectors

  • The command and notation point to vectors.
  • The requested response is a short answer.

How to handle it: write the vector relationship component by component, then use a dot product, magnitude or scalar multiple as required.

Watch out: Do not select a formula until its domain, interval, sign and units match the question.

Step-by-step answer

  1. Add corresponding components: .
  2. Simplify: .
  3. NESA: 1 mark for the correct answer .

Common mistake: choosing a familiar formula before checking that its conditions, signs, interval and units match this question.

The paper records 1 total mark for this group. Where the official marking guide provides useful partial-credit criteria, those criteria are stated in the steps above.

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