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Mathematics
Mathematics
Problem
A
,
B
,
C
A, B, C
A
,
B
,
C
and
D
D
D
have position vectors
a
,
b
,
c
\mathbf{a}, \mathbf{b}, \mathbf{c}
a
,
b
,
c
and
d
\mathbf{d}
d
, respectively, such that
a
−
b
=
2
(
d
−
c
)
\mathbf{a} - \mathbf{b} = 2(\mathbf{d} - \mathbf{c})
a
−
b
=
2
(
d
−
c
)
. Then, a.
A
B
AB
A
B
and
C
D
CD
C
D
bisect each other b.
B
D
BD
B
D
and
A
C
AC
A
C
bisect each other c.
A
B
AB
A
B
and
C
D
CD
C
D
trisect each other d.
B
D
BD
B
D
and
A
C
AC
A
C
trisect each other
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