This is a "exam style" question for A-Level mathematics regarding vectors. The question is as followed:
Relative to a fixed origin O, the points A and B have position vectors 4i+3j-k and i+4j+4k respectively.
(a) Find the vector equation of the line l1 which passes through A and B.
The line l2 has equation r=22i+aj+4k+μ(bi-j+2k), where μ is scalar parameter and a and b are constants.
The lines l1 and l2 are perpendicular and intersect. Find:
(b) the values of a and b
(c) the position vector of the point of intersection of l1 and l2
Vector equation of a strait line through two points C and D:
if there is any other ones, I am unfortunately unaware of
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
This question is really getting into my head and any help would be greatly appreciated.