3D Coordinate Systems Quiz

Description

Quiz self on 3D coordinate systems and the 3D distance formula.
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Quiz by Deleted user, updated more than 1 year ago More Less
Darren Hunt
Created by Darren Hunt about 6 years ago
Darren Hunt
Copied by Darren Hunt about 6 years ago
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Resource summary

Question 1

Question
Find the distance between (1,2,3) and (7,8,9).
Answer
  • 108
  • sqrt(108)
  • 308
  • sqrt(308)

Question 2

Question
What is the correct equation for a sphere? Select all that apply.
Answer
  • (x-x0)^2+(y-y0^2)+(z-z0)^2=r^2
  • sqrt((x1-x0)^2+(y1-y0)^2+z1-z0)^2)=r
  • sqrt((x1-x0)^2+(y1-y0)^2)=r
  • (x-x0)^2+(y-y0^2)=r^2

Question 3

Question
The distance of (-4,-8,7) to the xz-plane is 7.
Answer
  • True
  • False

Question 4

Question
Describe the surface where x^2+y^2+z^2=2x-6y+15.
Answer
  • Sphere, radius sqrt(15), centered at (2,-6,0)
  • Cylinder, radius sqrt(15), centered at (-2,6,0)
  • Cylinder, radius 5, centered at (1,-3,0)
  • Sphere, radius 5, centered at (1,-3,0)

Question 5

Question
What is the equation of the graph pictured?
Answer
  • z=e^y
  • x=e^y
  • z=sqrt(y)
  • x=sqrt(y)
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