Intersection of two vector lines

How would I go about finding the intersection point of two vector lines in the form:

a = b*t + u

c = d*s + v

where a,b and s is a 3x1 matrix?

Answer 1

[Matt J]

where a,b and s is a 3x1 matrix?

I assume you really mean that a,b,u,c,d,v are 3x1 and t,s are scalars.

ts=[b,-d]\( v-u );

intersection=b*ts(1)+u

[Tishan Anantharajah]

Thank you so much this worked

[Matt J]

I'm glad, but please Accept-click the answer to indicate that (and likewise for previous answers you may not have accept-clicked).