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Mathematics
Mathematics
Problem
The sides of a parallelogram are
2
i
^
+
4
j
^
−
5
k
^
2\hat{i} + 4\hat{j} - 5\hat{k}
2
i
^
+
4
j
^
−
5
k
^
and
i
^
+
2
j
^
+
3
k
^
\hat{i} + 2\hat{j} + 3\hat{k}
i
^
+
2
j
^
+
3
k
^
. The unit vector parallel to one of the diagonals is a.
1
7
(
3
i
^
+
6
j
^
−
2
k
^
)
\frac{1}{7}(3\hat{i} + 6\hat{j} - 2\hat{k})
7
1
(
3
i
^
+
6
j
^
−
2
k
^
)
b.
1
7
(
3
i
^
−
6
j
^
−
2
k
^
)
\frac{1}{7}(3\hat{i} - 6\hat{j} - 2\hat{k})
7
1
(
3
i
^
−
6
j
^
−
2
k
^
)
c.
1
69
(
i
^
+
2
j
^
+
8
k
^
)
\frac{1}{\sqrt{69}}(\hat{i} + 2\hat{j} + 8\hat{k})
69
1
(
i
^
+
2
j
^
+
8
k
^
)
d.
1
69
(
−
i
^
−
2
j
^
+
8
k
^
)
\frac{1}{\sqrt{69}}(-\hat{i} - 2\hat{j} + 8\hat{k})
69
1
(
−
i
^
−
2
j
^
+
8
k
^
)
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