Question
In Exercises $53-56,$ find the point in which the line meets the plane.$$x=1+2 t, \quad y=1+5 t, \quad z=3 t ; \quad x+y+z=2$$
Step 1
The parametric equations of the line are given by $x=1+2t$, $y=1+5t$, and $z=3t$. The equation of the plane is $x+y+z=2$. Show more…
Show all steps
Your feedback will help us improve your experience
Linh Vu and 61 other Calculus 3 educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
In Exercises $53-56,$ find the point in which the line meets the plane. $$x=-1+3 t, \quad y=-2, \quad z=5 t ; \quad 2 x-3 z=7$$
Vectors and the Geometry of Space
Lines and Planes in Space
In Exercises $53-56,$ find the point in which the line meets the plane. $$x=1-t, \quad y=3 t, \quad z=1+t ; \quad 2 x-y+3 z=6$$
In Exercises $53-56,$ find the point in which the line meets the plane. $$x=2, \quad y=3+2 t, \quad z=-2-2 t ; \quad 6 x+3 y-4 z=-12$$
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD