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Mathematics
Mathematics
Problem
Consider points
A
A
A
,
B
B
B
,
C
C
C
and
D
D
D
with position vectors
7
i
^
−
4
j
^
+
7
k
^
7\hat{i} - 4\hat{j} + 7\hat{k}
7
i
^
−
4
j
^
+
7
k
^
,
i
^
−
6
j
^
+
10
k
^
\hat{i} - 6\hat{j} + 10\hat{k}
i
^
−
6
j
^
+
10
k
^
,
−
i
^
−
3
j
^
+
4
k
^
-\hat{i} - 3\hat{j} + 4\hat{k}
−
i
^
−
3
j
^
+
4
k
^
and
5
i
^
−
j
^
+
5
k
^
5\hat{i} - \hat{j} + 5\hat{k}
5
i
^
−
j
^
+
5
k
^
, respectively. Then,
A
B
C
D
ABCD
A
B
C
D
is a a. square b. rhombus c. rectangle d. None of these
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