IB Maths AA HL 3.14 Vector equations of lines Question Bank

Practise IB Mathematics HL 3.14 by applying vector equations of lines methods to exam-style questions.

Exam points

Consider the points A(1,2,3), B(k,-2,1) and C(5,0,2), where $k \in \mathbb{R}$ .

For k=9, let $L_{1}$ be the line passing through A, B and C .

Find a vector equation of the line $L_{1}$ .

attempt to set up a vector equation using a point, a parameter and a direction vector

r=\left(\begin{array}{l} 1 \\ 2 \\ 3 \end{array}\right)+\lambda\left(\begin{array}{c} 4 \\ -2 \\ -1 \end{array}\right) \text { (or equivalent) }

Note: " r= " or equivalent must be seen for A1.

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