- #1
yungman
- 5,718
- 241
Homework Statement
Given a sphere center at (2,2,2) with radius of 1.5, given a vector A=<3,2,1>. How do I verify A point to a point inside the sphere?
Homework Equations
Equation of circle:
[tex]\sqrt{(x-2)^2+(y-2)^2+(z-2)^2}=1.5[/tex]
The Attempt at a Solution
I know A point to a point inside the sphere.
[tex]\sqrt{(3-2)^2+(2-2)^2+(1-2)^2}=\sqrt{2}\;\hbox { smaller than 1.5}[/tex]
Is any point that give number smaller than 2.25 indicate the point is inside the sphere? can you explain why?
Thanks
Alan