
Concept explainers
a.
Verify that
a.

Answer to Problem 51E
Explanation of Solution
Given information:
The vector equation of a sphere having points,
Calculation:
Consider the given points,
Now compute
Hence, the equation is,
b.
Find the centre and radius of the sphere.
b.

Answer to Problem 51E
Explanation of Solution
Given information:
The vector equation of a sphere having points,
Calculation:
Consider the equation,
Compare it with standard equation of sphere,
Hence, the centre and radius of the sphere is
c.
Interpret the result of part
c.

Answer to Problem 51E
Explanation of Solution
Given information:
The vector equation of a sphere having points,
Using the fact that the dot product of two vectors is
Calculation:
Graph the function,
d.
Find the centre and radius of sphere.
d.

Answer to Problem 51E
Explanation of Solution
Given information:
The vector equation of a sphere having points,
Calculation:
Consider the given points,
Now compute
Compare it with standard eqation,
Hence, the centre and radius sphere is,
Chapter 9 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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