Let A , E and C be unit vectors. Suppose A B = A C =0 and the angle between E and 屯 is 4…
Mathematics · JEE Main · NTA Exams — Vector Algebra
Let \(\overrightarrow{\mathrm{A}}, \overrightarrow{\mathrm{E}} \text { and } \overrightarrow{\mathrm{C}}\) be unit vectors. Suppose \(\vec{A} \cdot \vec{B}=\vec{A} \cdot \vec{C}=0\) and the angle between \(\text { E }\) and \(\text { 屯 }\) is \(\frac{\pi}{4}\). Then :
- \(\vec{A}= \pm 2[\vec{B} \times \vec{C}]\)
- \(\vec{A}= \pm \sqrt{2}[\vec{B} \times \vec{C}]\)
- \(\vec{A}= \pm 3[\vec{B} \times \vec{C}]\)
- \(\vec{A}= \pm \sqrt{3}[\vec{B} \times \vec{C}]\)
Answer
(B) A = 2 [ B C ]
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