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Q.
The vector equation of sphere with centre having the position vector $ 3 \hat{i}+\hat{j}-2\hat{k}$ and radius $9$ units is
Three Dimensional Geometry
Solution:
Position vector of centre is $3 \hat{i} +\hat{j}-2 \hat{k}$,
radius = $9$ units = $R$
$\therefore $ Required equation is $\left|\vec{r}-\vec{c}\right|=R $
$\Rightarrow \left|\vec{r}-\left(3 \hat{i}+\hat{j}-2\hat{k}\right)\right|=9$
