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Mathematics
Mathematics
Problem
If ABCD is parallelogram,
A
B
=
2
i
^
+
4
j
^
−
5
k
^
\mathbf{AB} = 2\hat{i} + 4\hat{j} - 5\hat{k}
AB
=
2
i
^
+
4
j
^
−
5
k
^
and
A
D
=
i
^
+
2
j
^
+
3
k
^
\mathbf{AD} = \hat{i} + 2\hat{j} + 3\hat{k}
AD
=
i
^
+
2
j
^
+
3
k
^
, then the unit vectors in the direction of
B
D
\mathbf{BD}
BD
is a.
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
^
)
b.
1
69
(
i
^
+
2
j
^
−
8
k
^
)
\frac{1}{69}(\hat{i} + 2\hat{j} - 8\hat{k})
69
1
(
i
^
+
2
j
^
−
8
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}{69}(-\hat{i} - 2\hat{j} + 8\hat{k})
69
1
(
−
i
^
−
2
j
^
+
8
k
^
)
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