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Mathematics
Mathematics
Problem
Find a unit vector perpendicular to the vectors
a
=
2
i
+
j
−
k
\mathbf{a}=2\mathbf{i}+\mathbf{j}-\mathbf{k}
a
=
2
i
+
j
−
k
and
b
=
i
−
3
j
+
4
k
\mathbf{b}=\mathbf{i}-3\mathbf{j}+4\mathbf{k}
b
=
i
−
3
j
+
4
k
. a)
1
131
(
i
−
9
j
+
7
k
)
\dfrac{1}{\sqrt{131}}\,(\,\mathbf{i}-9\mathbf{j}+7\mathbf{k}\,)
131
1
(
i
−
9
j
+
7
k
)
b)
1
131
(
i
−
9
j
−
7
k
)
\dfrac{1}{\sqrt{131}}\,(\,\mathbf{i}-9\mathbf{j}-7\mathbf{k}\,)
131
1
(
i
−
9
j
−
7
k
)
c)
1
131
(
i
−
9
j
−
7
k
)
\dfrac{1}{131}\,(\,\mathbf{i}-9\mathbf{j}-7\mathbf{k}\,)
131
1
(
i
−
9
j
−
7
k
)
d)
1
107
(
i
−
9
j
−
5
k
)
\dfrac{1}{\sqrt{107}}\,(\,\mathbf{i}-9\mathbf{j}-5\mathbf{k}\,)
107
1
(
i
−
9
j
−
5
k
)
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