# Intersection point of 2 vectors in R3

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• November 1st 2010, 06:28 AM
Hyrules
Intersection point of 2 vectors in R3
Hi everyone,

i'm not quite sure where this thread should go but here i go.

I have 2 vectors

Here are the 2 points for vector 1 (in R3)
V1 : $A (-3,0,-4) and B(a,a,5)$

Here is the symetric equation of vector 2
V2 : $(x+3)/2 = y-1 = (z+2)/a$

My parametric equations for those 2 vectors should be :

V1: [LaTeX ERROR: Convert failed]

V2: [LaTeX ERROR: Convert failed]

My problem is that I need to find the unknown a in order for my 2 vector to have one intersection point. I'm missing something but i cannot pinpoint what... and this is driving me nuts. Finding V1 // V2 is easy as well as V1 perpendicular to V2 but i'm missing something obvious.

any help would be appreciated.