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Mathematics
Mathematics
Problem
The magnitude of the projection of the vector
2
i
^
+
3
j
^
+
k
^
2\hat{i} + 3\hat{j} + \hat{k}
2
i
^
+
3
j
^
+
k
^
on the vector perpendicular to the plane containing the vectors
i
^
+
j
^
+
k
^
\hat{i} + \hat{j} + \hat{k}
i
^
+
j
^
+
k
^
and
i
^
+
2
j
^
+
3
k
^
\hat{i} + 2\hat{j} + 3\hat{k}
i
^
+
2
j
^
+
3
k
^
, is : (1)
3
2
\frac{\sqrt{3}}{2}
2
3
(2)
3
2
\sqrt{\frac{3}{2}}
2
3
(3)
6
\sqrt{6}
6
(4)
3
6
3\sqrt{6}
3
6
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