Find the vector equation of sphere whose centre is $(2, - 3, 4)$ and radius is $5$ .

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Solution

Given : Centre of the Sphere $(2, - 3, 4)$
$∴ \to c = 2^i - 3^j + 4^k$
and Radius $a = 5$
$∴$ Vector equation of the sphere will be
$= | \to r - \to c | = a$
$= | \to r - (2^i - 3^j + 4^k) | = 5$

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