Paper 22 Q9(c)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 including scalar multiplication and vector addition. These skills are fundamental for understanding position vectors and movements in coordinate geometry.

Step-by-Step Solution

Key Takeaway

When multiplying a vector by a scalar, multiply each component of the vector by that scalar.

Common Mistakes

Only multiplying one component by the scalar instead of both components
Making sign errors when multiplying negative components (forgetting that 3 × (-3) = -9)

Exam Tip

Always write your vector answer in brackets with a comma between components, and double-check your arithmetic with negative numbers.

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