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Mathematics
Mathematics
Problem
Find the equation of the sphere whose centre has the position vector
3
i
^
+
6
j
^
−
4
k
^
3\hat{i} + 6\hat{j} - 4\hat{k}
3
i
^
+
6
j
^
−
4
k
^
and which touches the plane
r
⋅
(
2
i
^
−
2
j
^
−
k
^
)
=
10
\mathbf{r} \cdot (2\hat{i} - 2\hat{j} - \hat{k}) = 10
r
⋅
(
2
i
^
−
2
j
^
−
k
^
)
=
10
.
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