## derrick902 3 years ago 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.

1. experimentX

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

2. derrick902

What should i do with x2 and x3?

3. derrick902

x2=3-3t?

4. derrick902

and x3=-1-5t?

5. experimentX

yeah!!

6. derrick902

ok one second...

7. derrick902

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

8. experimentX

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

9. derrick902

Thanks!

10. derrick902

@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....

11. experimentX

12. derrick902

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

13. derrick902

solved*

14. derrick902

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

15. experimentX

oh ... good for you!!