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Mathematics
Mathematics
Problem
Let
a
,
b
,
c
a, b, c
a
,
b
,
c
denote the lengths of the sides of a triangle such that
(
a
−
b
)
u
+
(
b
−
c
)
v
+
(
c
−
a
)
(
u
×
v
)
=
0
(a-b)\mathbf{u} + (b-c)\mathbf{v} + (c-a)(\mathbf{u} \times \mathbf{v}) = 0
(
a
−
b
)
u
+
(
b
−
c
)
v
+
(
c
−
a
)
(
u
×
v
)
=
0
for any two non-collinear vectors
u
\mathbf{u}
u
and
v
\mathbf{v}
v
, then the triangle is a. right angled b. equilateral c. isosceles d. scalene
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