1. Vectors and Geometry

Lines And Planes — Quiz

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

Practice Questions

Question 1

Which of the following is the correct parametric form of the line passing through the points $P(1, 2, 3)$ and $Q(4, 6, 8)$?

Question 2

Which of the following represents the equation of a plane passing through the point $P(3, -1, 2)$ and normal to the vector $\vec{n} = (2, -4, 1)$?

Question 3

Find the angle between the two planes given by $2x - y + 2z = 5$ and $x + 2y - z = 3$. Which of the following is the correct angle?

Question 4

What is the shortest distance between the point $P(1, 2, 3)$ and the plane $3x - 6y + 2z = 12$?

Question 5

Which of the following is the equation of the plane passing through the points $A(1, 0, 0)$, $B(0, 1, 0)$, and $C(0, 0, 1)$?