IB Maths AI HL 3.11 Vector equations of lines Question Bank

Practise IB Mathematics HL 3.11 by applying vector equations of lines methods to exam-style questions.

Exam points

identify the mathematical structure, variable or representation
select and apply the correct theorem, formula or algorithm
check the result using units, domain, graph or logical reasoning

[Maximum number: 1]

François is a video game designer. He designs his games to take place in two dimensions, relative to an origin O . In one of his games, an object travels on a straight line $L_{1}$ with vector equation

r=\binom{-1}{1}+\lambda\binom{2}{-1}

Write down $L_{1}$ in the form $x=x_{0}+\lambda l$ and $y=y_{0}+\lambda m$ , where $l, m \in \mathbb{Z}$ .

$x=-1+2 \lambda, y=1-\lambda$

A1

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AHL 3.11 (HL)—Vector equations of lines question 1