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math ASAP

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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

  • math ASAP - ,

    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

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