Vector Lines (Edexcel A Level Further Maths: Core Pure)

Topic Questions

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Medium

3 marks

The line $l_{1}$ has equation

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

The line $l_{2}$ has equation

$r = i + 3 k + t (i - j + 2 k)$

where $t$ is a scalar parameter.

Show that

l_{1}

and

l_{2}

lie in the same plane.

How did you do?

3 marks

(b)

Find, to the nearest degree, the acute angle between

l_{1}

and

l_{2}

How did you do?

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