(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

This is a "exam style" question for A-Level mathematics regarding vectors. The question is as followed:

Relative to a fixed originO, the points A and B have position vectors 4i+3j-kandi+4j+4krespectively.

(a) Find the vector equation of the line l_{1}which passes through A and B.

The line l_{2}has equationr=22i+aj+4k+μ(bi-j+2k), where μ is scalar parameter and a and b are constants.

The lines l_{1}and l_{2}are perpendicular and intersect. Find:

(b) the values of a and b

(c) the position vector of the point of intersection of l_{1}and l_{2}

2. Relevant equations

Vector equation of a strait line through two points C and D:

r=c+t(d-c)

if there is any other ones, I am unfortunately unaware of

3. The attempt at a solution

Sadly I've been given no knowledge of how to do this question since vectors is not a part of my course. Therefore there are no attempts made

4.Conclusion

This question is really getting into my head and any help would be greatly appreciated.

Regards,

-A

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# Simple Vector question.

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