Quick questions on Equations of lines in three dimensions: vector and Cartesian form, intersection and skew lines - OCR A-Level Further Maths A

2short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is q1?

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Write the direction vector of the line

\dfrac{x - 1}{2} = \dfrac{y + 3}{-1} = \dfrac{z}{4}

. [1 mark]

What is q2?

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Are the lines with directions

\begin{pmatrix} 2 \\ 4 \\ 6 \end{pmatrix}

and

\begin{pmatrix} 1 \\ 2 \\ 3 \end{pmatrix}

parallel? [1 mark]

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