equation of a line through points, perpendicular to a line

mathstresser

Junior Member
Joined
Jan 28, 2006
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134
Is the line through (4,1,-1) and (2,5,3) parallel to the line through (-3,2,0) and (5,1,4)?

I found the V1(vector 1) between the first two points to be <-2,4,4> and V2 (between the last two points) to be <8,-1,4>

I thought that if I found the second vector, I could then find the normal line, and then figure out the equation of the line that thoes through the first two points and is parallel to the normal line.

But, I don't know how to find the normal line with the form it's in. Plus, even when I do find the normal line, I don't know how to find the line that is parallel to it and that goes through the first two points.
 
It should read, "Is the line through (4,1,-1) and (2,5,3) perpendicular to the line through (-3,2,0) and (5,1,4)? "
 
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