Question

Find the point of intersection

L1: r(t)= (-5 + 3t)i + (1+t)j
L2= r(s) = (1+2s)i + (5-6s)j

I know they are perpendicular,

and the system of equations I think is
t= 4/5
s =8/5
so how do I find the point of intersection

Answer 1

Find: r when r(t) = r(s)
By equating the scalors of the i and j components to solve simultaneous equations in t and s:

-5 + 3t = 1 + 2s
1 + t = 5 - 6s