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Mathematics
Mathematics
Problem
12. Area of a rectangle having vertices
A
,
B
,
C
A, B, C
A
,
B
,
C
and
D
D
D
with position vectors
−
i
^
+
1
2
j
^
+
4
k
^
,
i
^
+
1
2
j
^
+
4
k
^
,
i
^
−
1
2
j
^
+
4
k
^
-\hat{i}+\frac{1}{2} \hat{j}+4 \hat{k}, \hat{i}+\frac{1}{2} \hat{j}+4 \hat{k}, \hat{i}-\frac{1}{2} \hat{j}+4 \hat{k}
−
i
^
+
2
1
j
^
+
4
k
^
,
i
^
+
2
1
j
^
+
4
k
^
,
i
^
−
2
1
j
^
+
4
k
^
and
−
i
^
−
1
2
j
^
+
4
k
^
-\hat{i}-\frac{1}{2} \hat{j}+4 \hat{k}
−
i
^
−
2
1
j
^
+
4
k
^
, respectively is (A)
1
2
\frac{1}{2}
2
1
(B) 1 (C) 2 (D) 4 (A)
1
2
\frac{1}{2}
2
1
(B) 1 (C) 2 (D) 4
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