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Mathematics
Mathematics
Problem
Given, two vectors are
i
^
−
j
^
\hat{i} - \hat{j}
i
^
−
j
^
and
i
^
+
2
j
^
\hat{i} + 2\hat{j}
i
^
+
2
j
^
, the unit vector coplanar with the two vectors and perpendicular to first is [AIEEE 2002] a.
1
2
(
i
^
+
j
^
)
\frac{1}{\sqrt{2}}(\hat{i} + \hat{j})
2
1
(
i
^
+
j
^
)
b.
1
5
(
2
i
^
+
j
^
)
\frac{1}{\sqrt{5}}(2\hat{i} + \hat{j})
5
1
(
2
i
^
+
j
^
)
c.
±
1
2
(
i
^
+
j
^
)
\pm \frac{1}{\sqrt{2}}(\hat{i} + \hat{j})
±
2
1
(
i
^
+
j
^
)
d. None of these
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