2. Lines, Planes, and Vector-Valued Functions

Equations Of Lines And Planes — Quiz

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

Practice Questions

Question 1

Which vector equation describes the line that passes through the point $\left(1,-2,3\right)$ and has direction vector $\langle 2,1,-1\rangle$?

Question 2

Which equation represents the plane with normal vector $\langle 3,-2,4\rangle$ that passes through $\left(1,0,-2\right)$?

Question 3

Which point lies on the line $x=2+t$, $y=1-3t$, $z=4+2t$ when $t=2$?

Question 4

What is a normal vector to the plane $5x+y-2z=7$?

Question 5

Which symmetric form matches the line $x=1+2t$, $y=3-t$, $z=5+4t$?