Let a = i - j , b = j - k , c = k - i . If is a unit vector such that a d =0=[ b c d ] …

Mathematics · JEE Advanced · NTA ExamsVector Algebra

Let \(\vec{a}=\hat{i}-\hat{j}, \vec{b}=\hat{j}-\hat{k}, \vec{c}=\hat{k}-\hat{i} .\) If is a unit vector such that \(\vec{a} \cdot \vec{d}=0=[\vec{b} \vec{c} \vec{d}]\), then equals

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