Paper 22 Q9(d)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 vector operations and coordinate geometry, requiring you to perform scalar multiplication, vector addition, find coordinates using vectors, and calculate vector magnitudes.

Step-by-Step Solution

Key Takeaway

Vector operations follow component-wise rules: scalar multiplication affects each component, addition combines corresponding components, and position vectors help find coordinates.

Common Mistakes

Confusing vector addition with scalar multiplication - remember to add corresponding components, not multiply them
When finding point G, forgetting that FG is the displacement vector from F to G, so G = F + FG, not F - FG

Exam Tip

Always double-check your magnitude calculation by ensuring you've squared both components correctly before taking the square root.

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