I asked a similar question to this yesterday, and I think I managed, however, I have a similar question but a bit different, if I understand this I think I'll manage to confirm the other one as well, so, how would one go about tackling this?
a) The points A and B have position vectors i-5k and 4i+3j+k, respectively. Find the equation of the line $l_1$ that passes A and B.
Basically, r=a+λ(b-a), which results to: $$i-5k+λ(3i+3j+6k)$$ Correct? or should I put my final answer as: $$i-5k+μ(i+j+2k)$$ Same answer but μ=3λ, would both be correct?
However, my main problem is this;
b) The line $l_2$ with vector question r=6i+j+ak+μ(2i+bj-k) intersects $l_1$ and is perpendicular to it. Find a and b, and the position vector of point of intersection C of $l_1$ and $l_2$.
A guideline on how to achieve it would be greatly appreciated.