1. Geometry and Vectors in Space

Distance, Spheres, Cylinders, Quadric Surfaces — Quiz

Test your understanding of distance, spheres, cylinders, quadric surfaces with 5 practice questions.

Practice Questions

Question 1

What is the distance between the points $(1,2,3)$ and $(4,6,3)$ in three-dimensional space?

Question 2

A sphere is given by $(x-2)^2+(y+1)^2+(z-4)^2=9$. What is its radius?

Question 3

Which equation represents a sphere with center $(1,-2,0)$ and radius $6$?

Question 4

What surface is represented by $x^2+y^2=9$?

Question 5

What surface is represented by $y^2+z^2=9$?