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Mathematics
Mathematics
Problem
Let
A
(
2
i
^
+
3
j
^
+
5
k
^
)
,
B
(
−
i
^
+
3
j
^
+
2
k
^
)
A(2\hat{i} + 3\hat{j} + 5\hat{k}), B(-\hat{i} + 3\hat{j} + 2\hat{k})
A
(
2
i
^
+
3
j
^
+
5
k
^
)
,
B
(
−
i
^
+
3
j
^
+
2
k
^
)
and
C
(
λ
i
^
+
5
j
^
+
μ
k
^
)
C(\lambda\hat{i} + 5\hat{j} + \mu\hat{k})
C
(
λ
i
^
+
5
j
^
+
μ
k
^
)
are vertices of a triangle and its median through
A
A
A
is equally inclined to the positive directions of the axes. The value of
2
λ
−
μ
2\lambda - \mu
2
λ
−
μ
is equal to
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