Vectors Made Easy! 🎯 Find Modulus Using External Division & Ratio Theorem

📌 In this video, we explore *Vectors**, focusing on how to find the **length (modulus) of a vector* using the *Ratio Theorem* and external division.

🧮 Problem Breakdown:
Points *P* and *Q* are such that:
OP = i + 2j + 3k
OQ = 4i + 5j – 3k
A point *M* divides *PQ externally in the ratio 3:2*

🎯 Task: Find the **modulus of vector MQ**, given that **O is the origin**.

✅ What You'll Learn:
How to interpret external division of vectors
Using the Ratio Theorem correctly for external points
Finding position vectors and computing differences
Calculating the modulus (length) of a 3D vector
Step-by-step breakdown of vector subtraction and modulus formula

⏱️ TIMESTAMPS:
0:00 - Introduction
0:27 - Understanding the given ratio and external division
1:30 - Using the Ratio Theorem to find OM
3:45 - Finding vector MQ using subtraction
6:45 - Computing modulus of MQ
8:15 - Final Answer

👩‍🏫 Perfect for:
KCSE and IGCSE candidates
Form 3/4 high school students
Math teachers explaining 3D vectors
Anyone learning vector geometry

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#Vectors #RatioTheorem #KCSEMath #IGCSEVectors #3DGeometry