TestMum
← 2022 HSC Extension 1 paper Question 11(d)

Variation 3 · answer guide

Vectors — Original numbers shifted

Question

For and , find for perpendicularity.

This practice question was inspired by Question 11(d) in the 2022 NSW HSC Mathematics Extension 1 examination, © NESA. It is an original TestMum variation that practises the same mathematical idea, not an official NESA question.

Step by step

  1. Set up the solution: write the vector relationship component by component, then use a dot product, magnitude or scalar multiple as required..
  2. State the final answer clearly in the form the question requested., so or .

Common mistake: changing so many features that the new example no longer tests the same mathematical idea.

Verification: Expand carefully before factoring.

Any mark labels are a TestMum study aid, not an official NESA marking allocation.

← Back to 2022 HSC Extension 1 paper Question 11(d)