Let $\mathop a\limits^ \to = 3\mathop i\limits^ \wedge + 2\mathop j\limits^ \wedge + x\mathop k\limits^ \wedge $ and $\mathop b\limits^ \to = \mathop i\limits^ \wedge - \mathop j\limits^ \wedge + \mathop k\limits^ \wedge $ , for some real x. Then $\left| {\mathop a\limits^ \to \times \mathop b\limits^ \to } \right|$ = r is possible if :

Question

0 < r < $\sqrt {{3 \over 2}} $

$3\sqrt {{3 \over 2}} < r < 5\sqrt {{3 \over 2}} $

$ r \ge 5\sqrt {{3 \over 2}} $

$\sqrt {{3 \over 2}} < r \le 3\sqrt {{3 \over 2}} $

Solution

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