Let \(\vec a = 3\hat i + 2\hat j + x\hat k{\rm{\;and\;}}\vec b = \hat i - \hat j + \hat k\), for some real x. Then \(\left| {\vec a \times \vec b} \right| = r\) is possible if:

\(0 < r \le \sqrt {\frac{3}{2}}\)

\(\sqrt {\frac{3}{2}} < r \le 3\sqrt {\frac{3}{2}}\)

\(3\sqrt {\frac{3}{2}} < r < 5\sqrt {\frac{3}{2}}\)

Let \(\vec a = 3\hat i + 2\hat j + x\hat k{\rm{\;and\;}}\vec b = \hat

1.	Let \(\vec a = 3\hat i + 2\hat j + x\hat k{\rm{\;and\;}}\vec b = \hat i - \hat j + \hat k\), for some real x. Then \(\left\| {\vec a \times \vec b} \right\| = r\) is possible if:
A.	\(\sqrt {\frac{3}{2}} < r \le 3\sqrt {\frac{3}{2}}\)
B.	\(r \ge 5\sqrt {\frac{3}{2}}\)
C.	\(0 < r \le \sqrt {\frac{3}{2}}\)
D.	\(3\sqrt {\frac{3}{2}} < r < 5\sqrt {\frac{3}{2}}\)
Answer» C. \(0 < r \le \sqrt {\frac{3}{2}}\)