Given L_1=+t and 2x1-3x2-5x3=5 Find the intersection point between the line and the plane.

Question

Given L_1=<-2,3,-1>+t<2,-3,-5> and 2x1-3x2-5x3=5 Find the intersection point between the line and the plane.

experimentx · Answer

x1 = -2+2t <-- put these values in the plane and find the value of t.

anonymous · Answer

What should i do with x2 and x3?

anonymous · Answer

x2=3-3t?

anonymous · Answer

and x3=-1-5t?

experimentx · Answer

yeah!!

anonymous · Answer

ok one second...

anonymous · Answer

Okay, I got t=13/38.  So plugging that back into my line equation, I get the point <-25/19,75/38,65/38>.

experimentx · Answer

well ... put those point on the plane and check if it's correct or not.

anonymous · Answer

Thanks!

anonymous · Answer

@experimentX Could you do work out this problem and do a quick check of the values?  I followed your instructions but when I plug them back in to the line equation and the plane equation, I don't get the same position vector....

experimentx · Answer

sorry ... had connection problem.

anonymous · Answer

that's okay, solve my problem, like just now lol

anonymous · Answer

solved*

anonymous · Answer

i made a sign error....darn.  Took forever to find it lol

experimentx · Answer

oh ... good for you!!