Vectors — Stronger wind

Question

Same destination bearing , airspeed , wind from the south at . Find the heading bearing to the nearest degree.

This practice question was inspired by Question 14(a) in the 2021 NSW HSC Mathematics Extension 1 examination, © NESA. It is an original TestMum variation that practises the same mathematical idea, not an official NESA question.

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

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

Verification: About .

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