Ask your own question, for FREE!
Mathematics 16 Online
OpenStudy (anonymous):

efsadfa

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)

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

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

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

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?

OpenStudy (helder_edwin):

yes. we have ruled the other options out

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!