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Mathematics
Problem
If
a
2
+
b
2
+
c
2
=
1
a^2 + b^2 + c^2 = 1
a
2
+
b
2
+
c
2
=
1
where
a
,
b
,
c
∈
R
a, b, c \in \mathbb{R}
a
,
b
,
c
∈
R
, then the maximum value of
(
4
a
−
3
b
)
2
+
(
5
b
−
4
c
)
2
+
(
3
c
−
5
a
)
2
(4a - 3b)^2 + (5b - 4c)^2 + (3c - 5a)^2
(
4
a
−
3
b
)
2
+
(
5
b
−
4
c
)
2
+
(
3
c
−
5
a
)
2
is a. 25 b. 50 c. 144 d. None of these
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