If \(\vec a\) and \(\vec b\) are vectors in space, given by \(\vec a = \frac {\hat i - 2\hat j}{\sqrt 5}\) and \(\vec b = \frac {2\hat i + \hat j + 3\hat k}{\sqrt {14}}\) then the value of \(\left(2\vec a + \vec b\right)\left[\left(\vec a \times \vec b\right)\times \left(\vec a - 2\vec b\right)\right]\) is

If \(\vec a\) and \(\vec b\) are vectors in space, given by \(\ve

1.	If \(\vec a\) and \(\vec b\) are vectors in space, given by \(\vec a = \frac {\hat i - 2\hat j}{\sqrt 5}\) and \(\vec b = \frac {2\hat i + \hat j + 3\hat k}{\sqrt {14}}\) then the value of \(\left(2\vec a + \vec b\right)\left[\left(\vec a \times \vec b\right)\times \left(\vec a - 2\vec b\right)\right]\) is
A.	3
B.	4
C.	5
D.	6
Answer» D. 6