7. Topic 7(COLON) Vectors and Coordinate Geometry

Lesson 7.4: Lines And Planes In Three Dimensions — Quiz

Test your understanding of lesson 7.4: lines and planes in three dimensions with 5 practice questions.

Practice Questions

Question 1

What is the vector equation of a line passing through the point $(1, 2, 3)$ with direction vector $(4, 5, 6)$?

Question 2

What is the Cartesian equation of a plane that contains the point $(3, -1, 2)$ and has a normal vector $(2, 4, -1)$?

Question 3

Which of the following represents the shortest distance from the point $(1, 1, 1)$ to the plane given by the equation $x + 2y + 2z - 7 = 0$?

Question 4

What is the angle between the line represented by the direction vector $(1, 0, 1)$ and the plane with a normal vector $(0, 1, 1)$?

Question 5

Find the parametric equations for the line that passes through the points $(2, 3, 4)$ and $(3, 5, 6)$.