Let a =3 i +2 j +x k and b = i - j + k , for some real x. Then | a b |=r is possible if
Mathematics · JEE Main · NTA Exams — Vector Algebra
Let \(\overrightarrow{\mathbf{a}}=3 \hat{i}+2 \hat{j}+x \hat{k}\) and \(\vec{b}=\hat{i}-\hat{j}+\hat{k}\), for some real x. Then \(|\overrightarrow{\vec{a}} \times \vec{b}|=r\) is possible if
- \(\sqrt{\frac{3}{2}}
- \(r \geq 5 \sqrt{\frac{3}{2}}\)
- \(3 \sqrt{\frac{3}{2}}
- \(0
Answer
(C) 3 3 2 <r<5 3 2
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