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 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 l_{1} which passes through A and B. The line l_{2} has equation r=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
Then why don't you wait until vectors are presented in your course, or when you take a course where vectors are presented?
For this problem, all you really need to know is that a point with position vector ai+ bj+ ck has coordinates (a, b, c).