WAEC Further Mathematics 2022 Theory — Question 8
Question 8 of 15 from the West African Examinations Council (WAEC) Further Mathematics 2022 Theory paper, with the correct answer and a full explanation.
Advertisement
8. Given that p=(8N, 030°) and q=(9N, 150°), find, in component form, the unit vector along (p−q).
Model answer
Converting bearings to components (x=r sinθ, y=r cosθ): p = 8(sin30°, cos30°) = (4, 6.93) q = 9(sin150°, cos150°) = (4.5, −7.79) p−q = (−0.5, 14.72) |p−q| = √(0.25+216.7) ≈ 14.73 Unit vector along (p−q) ≈ (−0.034i + 0.999j).
Advertisement
Sign up free to unlock
- Score tracking
- Practice history
- Saved questions
- Progress dashboard
- Personalized sessions
- Weak-topic breakdown
…and/or go further with premium services and No Ads.