The magnitude of the projection of the vector \(2\hat i + 3\hat j + \hat k,\) on the vector perpendicular to the plane containing the vectors \({\rm{\hat i}} + {\rm{\hat j}} + {\rm{\hat k\;and\;\hat i}} + 2{\rm{\hat j}} + 3{\rm{\hat k}}\), is:

The magnitude of the projection of the vector \(2\hat i + 3\hat j + \h

1.	The magnitude of the projection of the vector \(2\hat i + 3\hat j + \hat k,\) on the vector perpendicular to the plane containing the vectors \({\rm{\hat i}} + {\rm{\hat j}} + {\rm{\hat k\;and\;\hat i}} + 2{\rm{\hat j}} + 3{\rm{\hat k}}\), is:
A.	\(\frac{{\sqrt 3 }}{2}\)
B.	\(\sqrt 6\)
C.	\(3\sqrt 6\)
D.	\(\sqrt {\frac{3}{2}}\)
Answer» E.