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Mathematics
Mathematics
Problem
Let
P
(
a
,
b
,
c
)
P(a, b, c)
P
(
a
,
b
,
c
)
be any point on the plane
3
x
+
2
y
+
z
=
7
3x + 2y + z = 7
3
x
+
2
y
+
z
=
7
, then find the least value of
2
(
a
2
+
b
2
+
c
2
)
2(a^2 + b^2 + c^2)
2
(
a
2
+
b
2
+
c
2
)
.
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