Paper 22 Q9(a)IGCSE 0580 May/June 2023

Question

F is the point (1, -4), FG = (8, -3) and GH = (-12, 35) Find (a) 3FG (b) FG + GH (c) the coordinates of the point G (d) the magnitude of vector GH

This question tests your understanding of vector operations and coordinates. You need to perform scalar multiplication, vector addition, find coordinates using position vectors, and calculate vector magnitude.

Step-by-Step Solution

Key Takeaway

Vector operations follow component-wise rules: multiply each component for scalar multiplication and add corresponding components for vector addition.

Common Mistakes

Confusing vector addition with coordinate addition - remember that FG represents a displacement, not a point
Forgetting to square root when finding magnitude, or making arithmetic errors with the squares under the square root sign

Exam Tip

Always write vectors in bracket notation like (x, y) and show each component calculation separately to avoid sign errors.

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