Paper 22 Q9(b)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 including scalar multiplication, vector addition, finding coordinates using vectors, and calculating vector magnitude. These are fundamental skills for working with vectors in two dimensions.

Step-by-Step Solution

Key Takeaway

Vector operations follow simple rules: multiply each component for scalar multiplication, add corresponding components for vector addition, and use Pythagoras' theorem for magnitude.

Common Mistakes

Confusing vector addition with coordinate addition - remember that FG tells you how to move from F to G, so G = F + FG
Forgetting to square the negative component when calculating magnitude - (-12)² = 144, not -144

Exam Tip

Always check your magnitude calculation by ensuring the answer is positive, since magnitude represents distance which cannot be negative.

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