Vectors

State if the lines are parallel or perpendicular or find the angle between the lines.

x=1-3t y=2+4t z=-6+t and
x=1+2s y=2-2s z=-6+s

Question

Vectors

State if the lines are parallel or perpendicular or find the angle between the lines.

x=1-3t     y=2+4t     z=-6+t    and
x=1+2s    y=2-2s     z=-6+s

owlfred · Answer

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anonymous · Answer

<3,4,1> <2,-2,1> so they are noty parallel and not perpendicular also...

anonymous · Answer

What would make them parallel or perpendicular?

anonymous · Answer

cos theta=(3*2+4*(-2)+1)/(sqrt(26*9)=-0.065

anonymous · Answer

find the theta....

anonymous · Answer

if the direction cosines are same or multiplied of one then they are parallel...

anonymous · Answer

if lwo lines have direction cosines... and then if a/d=b/e=c/f then the lines are parallel...if ad+be+cf =0 then parallel..

anonymous · Answer

Thanks for the help. Btw, the first vector has a minor typo and should be -3.

anonymous · Answer

yes.....sorry for that.

anonymous · Answer

np