3. Geometry and Trigonometry

Intersections Of Lines And Planes — Quiz

Test your understanding of intersections of lines and planes with 5 practice questions.

Practice Questions

Question 1

The line $x=1+t$, $y=2-t$, $z=3+2t$ intersects the plane $x+y+z=6$ at which point?

Question 2

The line $x=t$, $y=-t$, $z=0$ and the plane $x+y+z=1$ have how many points of intersection?

Question 3

If a line lies in a plane, how many points of intersection do they have?

Question 4

The line $x=2+t$, $y=1+2t$, $z=3-t$ intersects the plane $x+y+z=8$ at which point?

Question 5

The line $x=1+2t$, $y=3-t$, $z=4$ intersects the plane $x-y+z=0$ at which point?