IB Maths AI HL Ahl 3 11 Hl Vector Equations of Lines Questions

Practise forming vector equations of 2D or 3D lines, converting to parametric form and interpreting position, direction and intersection information.

Exam points

Form a 2D or 3D vector equation r=a+λb from a point and direction vector.
Convert a vector line equation to parametric form and determine coordinates for a given parameter.
Interpret direction, position and intersection information from the line representation.

Learn this topic

Study AHL 3.11 (HL)—Vector equations of lines conceptsOpen the corresponding Concept lesson for explanations, examples and exam connections.

[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 $l, m \in \mathbb{Z}$ .

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

All question bank results loaded

Learn this topic

IB Maths AI HL Ahl 3 11 Hl Vector Equations of Lines Questions question 1