6. Vectors in Euclidean Space

Lines And Planes — Quiz

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

Practice Questions

Question 1

Which of the following is a direction vector for the line $r=(1,2,3)+t(4,-1,2)$?

Question 2

Which set of parametric equations describes the line through $(1,-2,0)$ with direction vector $(3,1,-4)$?

Question 3

Which point lies on the plane $3x-y+2z=7$?

Question 4

What is a normal vector to the plane $3x+2y-z=7$?

Question 5

If $r=(0,1,-2)+t(2,0,5)$, what is the $z$-coordinate when $t=3$?