2022TrialMultiple choice

Q3

1 mark

Question

The straight line
$\begin{pmatrix}x\\y\\z\end{pmatrix}=\begin{pmatrix}1\\4\\3\end{pmatrix}+\lambda\begin{pmatrix}-1\\1\\2\end{pmatrix}$
has symmetric (or Cartesian) equation

A. $x-1=y-4=\frac{z-3}{2}$

B. $x-1=y-4=\frac{z+3}{2}$

C. $1-x=y-4=\frac{z-3}{2}$

D. $1-x=y-4=\frac{z+3}{2}$

Try the question before revealing the answer.

Syllabus alignment

Vectors

Vectors and vector equations of linesUse coordinates and vector equations for curves, lines, line segments and spheres in two and three dimensions.

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