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5 Apr 2020
: Vector Equation of a Sphere. Let 
and 
.
Using your observations from part (a), find a vector equation for the sphere in which the points 
and 
form the endpoints of a diameter. Simplify the vector equation to obtain an algebraic equation for the sphere. What are its center and radius?
: Vector Equation of a Sphere. Let and .
Using your observations from part (a), find a vector equation for the sphere in which the points and form the endpoints of a diameter. Simplify the vector equation to obtain an algebraic equation for the sphere. What are its center and radius?
Jarrod RobelLv2
14 May 2020
only if the vectors are perpendicular. [Hint: Draw a diagram showing the endpoints of the vectors 
, and 
noting that the endpoints of 
and 
are the endpoints of a diameter and the endpoint of 
is an arbitrary point on the sphere.]
