Mathematics
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OpenStudy (anonymous):
efsadfa
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OpenStudy (anonymous):
@helder_edwin
How do you something like this?
OpenStudy (helder_edwin):
split the vectors. for example
\[ \large (3t-1,2t,4t+1)=(3t,2t,4t)+(-1,0,1)
=t(3,2,4)+(-1,0,1) \]
OpenStudy (anonymous):
and the other one would equal t(2,-1,-1) + (3,0,-1) then what?
OpenStudy (helder_edwin):
what about the first one??
OpenStudy (anonymous):
the first one would be t(3,1,-2) + (1,1,0)
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OpenStudy (anonymous):
but what does that show
OpenStudy (helder_edwin):
the vector that has the t ses the direction of the line.
for two lines to be parallel the have to be equal
OpenStudy (anonymous):
so that would mean these are intersecting?
OpenStudy (helder_edwin):
to answer that solve this
\[ \large (3t+1,t+1,-2t)=(2t+3,-t,-t-1) \]
OpenStudy (anonymous):
How would you solve that
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OpenStudy (helder_edwin):
when are two vector equal???
OpenStudy (anonymous):
I am unsure of that
OpenStudy (helder_edwin):
\[ \large (a,b,c)=(d,e,f)\Leftrightarrow a=d\wedge b=e\wedge c=f \]
OpenStudy (anonymous):
what is the symbol between d and b
OpenStudy (helder_edwin):
the logical AND
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OpenStudy (anonymous):
I have never see that how do i apply that
OpenStudy (helder_edwin):
\[ \large 3t+1=2t+3 \]
go on
OpenStudy (anonymous):
t =2
OpenStudy (anonymous):
then what?
OpenStudy (helder_edwin):
u have two more equations
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OpenStudy (helder_edwin):
t+1=-t
-2t=-t-1
OpenStudy (anonymous):
t = .5 and t = 1 now what?
OpenStudy (anonymous):
I dont know where to go from here..
OpenStudy (helder_edwin):
u got three different solutions. this means the lines do not intercept
OpenStudy (anonymous):
So they are skew lines?
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OpenStudy (helder_edwin):
yes. we have ruled the other options out