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Mathematics
Mathematics
Problem
The points
A
A
A
,
B
B
B
,
C
C
C
and
D
D
D
have position vectors.
a
=
3
i
−
2
k
\mathbf{a} = 3\mathbf{i} - 2\mathbf{k}
a
=
3
i
−
2
k
,
b
=
5
i
−
4
j
+
k
\mathbf{b} = 5\mathbf{i} - 4\mathbf{j} + \mathbf{k}
b
=
5
i
−
4
j
+
k
,
c
=
6
i
−
3
j
+
3
k
\mathbf{c} = 6\mathbf{i} - 3\mathbf{j} + 3\mathbf{k}
c
=
6
i
−
3
j
+
3
k
and
d
=
4
i
+
j
+
k
\mathbf{d} = 4\mathbf{i} + \mathbf{j} + \mathbf{k}
d
=
4
i
+
j
+
k
. Determine whether
A
B
C
D
ABCD
A
B
C
D
is a parallelogram.
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