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Mathematics
Problem
Given
A
⃗
=
3
i
^
−
2
j
^
+
4
k
^
\vec A = 3\hat i - 2\hat j + 4\hat k
A
=
3
i
^
−
2
j
^
+
4
k
^
and
B
⃗
=
−
2
i
^
+
j
^
+
5
k
^
\vec B = -2\hat i + \hat j + 5\hat k
B
=
−
2
i
^
+
j
^
+
5
k
^
, determine the unit vector perpendicular to both
A
⃗
\vec A
A
and
B
⃗
\vec B
B
that makes an obtuse angle with the
+
i
^
+\hat i
+
i
^
direction. a)
14
i
^
+
23
j
^
+
k
^
11
6
\dfrac{14\hat i + 23\hat j + \hat k}{11\sqrt 6}
11
6
14
i
^
+
23
j
^
+
k
^
b)
−
14
i
^
−
23
j
^
+
7
k
^
11
6
\dfrac{-14\hat i - 23\hat j + 7\hat k}{11\sqrt 6}
11
6
−
14
i
^
−
23
j
^
+
7
k
^
c)
−
14
i
^
−
23
j
^
−
k
^
11
6
\dfrac{-14\hat i - 23\hat j - \hat k}{11\sqrt 6}
11
6
−
14
i
^
−
23
j
^
−
k
^
d)
−
14
i
^
+
23
j
^
+
k
^
11
6
\dfrac{-14\hat i + 23\hat j + \hat k}{11\sqrt 6}
11
6
−
14
i
^
+
23
j
^
+
k
^
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