The Vector Method (Q23 IGCSE P1 Edexcel June 2025)

Описание: ✅ 𝗙𝗥𝗘𝗘 𝗧𝗥𝗜𝗔𝗟 — 𝗔𝗶𝗺𝗶𝗻𝗴 𝗳𝗼𝗿 𝗔* 𝗼𝗿 𝗚𝗿𝗮𝗱𝗲 𝟵? 🎓 Get weekly structure + live lessons + feedback (small groups). 𝗕𝗼𝗼𝗸 𝘆𝗼𝘂𝗿 𝗳𝗿𝗲𝗲 𝘁𝗿𝗶𝗮𝗹 𝗹𝗲𝘀𝘀𝗼𝗻: https://www.gufficktuition.com/group-... In this video, Lee Guffick, founder of Guffick Tuition and former Head of Mathematics, explains Question 23 from the June 2025 Edexcel IGCSE Paper 1 — a five-mark vector geometry problem that tests your understanding of position vectors, ratios, and the vector method.

Lee breaks down this challenging Grade 9-level question step-by-step, showing you how to:
✅ Represent geometric information clearly using vectors
✅ Form two different routes between the same points (O and Q)
✅ Equate coefficients to solve for unknowns (λ and μ)
✅ Find the exact position of a point using vector ratios

This video is ideal for students preparing for IGCSE Paper 1 who want to master vector proofs and simultaneous vector equations — a key area for top-grade success.

⏱️ TIMESTAMPS:
00:00 – Introduction
00:20 – Understanding the vector diagram
01:00 – Finding AB in terms of a and b
01:40 – Using ratio information (1:2) along ABR
02:20 – Setting up the vector method
03:30 – Creating two different routes from O to Q
04:30 – Equating coefficients and solving for λ and μ
05:40 – Calculating the value of N (final answer)
06:30 – Key takeaway and summary

✏️ TOPICS COVERED:

The vector method

Midpoints and ratios in vectors

Expressing one vector in terms of others

Simultaneous equations with vectors

Coordinate geometry with position vectors

💯 EXAM TIPS:

Always sketch a clear vector diagram before starting.

Identify and label known ratios carefully — this prevents algebraic mistakes.

Remember: when two paths reach the same point, their vector sums are equal.

Equate coefficients of a and b separately for full marks.

📚 ABOUT GUFFICK TUITION:
Lee Guffick is a former Head of Mathematics and A-Level Examiner who helps ambitious students achieve Grade 9/A* results and secure offers from Oxford, Cambridge, Imperial, and Ivy League universities. His unique teaching approach combines conceptual clarity, exam technique, and real-world insight to build mathematical excellence and confidence.

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