CAIE IGCSE Mathematics Extended E7.4.2 Use Position Vectors Questions

Practise Extended CAIE IGCSE Mathematics by reading coordinates from position vectors, combining directed segments and simplifying midpoint or ratio expressions in base vectors.

Exam points

Read point coordinates directly from a position vector relative to the origin.
Build a position vector by adding directed segments along a valid route.
Express a midpoint or ratio point as a simplified combination of base position vectors.

[Maximum number: 1]

F is the point (1,-4), $\overrightarrow{FG}=\binom{8}{-3}$ and $\overrightarrow{GH}=\binom{-12}{35}$ .
Find

the coordinates of the point G

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CAIE IGCSE Mathematics Extended E7.4.2 Use Position Vectors Questions question 1