Twin Position Vectors?

📌 CONCEPT: The position vector of a point represents the directed line segment from the origin to that point in a coordinate system.

📐 RULE / FORMULA: The position vector of a point C is given by the sum of the position vectors of points A and B, when the mid-point of diagonal AC lies at the origin.

💡 WORKED EXAMPLE: Given that AB is represented by vector 2i + j, the position vector of point A is 2i + j. Since the mid-point of diagonal AC lies at the origin, the position vector of point C is twice the position vector of point A, which is 4i + 2j.

⚠️ COMMON MISTAKE: Students might forget to consider the mid-point lying at the origin, leading to incorrect calculations.