MathematicsMedium202×since 2002Q5806Let a→=3i∧+2j∧+xk∧\mathop a\limits^ \to = 3\mathop i\limits^ \wedge + 2\mathop j\limits^ \wedge + x\mathop k\limits^ \wedgea→=3i∧+2j∧+xk∧ and b→=i∧−j∧+k∧\mathop b\limits^ \to = \mathop i\limits^ \wedge - \mathop j\limits^ \wedge + \mathop k\limits^ \wedgeb→=i∧−j∧+k∧ , for some real x. Then ∣a→×b→∣\left| {\mathop a\limits^ \to \times \mathop b\limits^ \to } \right|a→×b→ = r is possible if :A0 < r < 32\sqrt {{3 \over 2}}23B332<r<5323\sqrt {{3 \over 2}} < r < 5\sqrt {{3 \over 2}}323<r<523Cr≥532r \ge 5\sqrt {{3 \over 2}}r≥523D32<r≤332\sqrt {{3 \over 2}} < r \le 3\sqrt {{3 \over 2}}23<r≤323Check answerSkip