Let a =a i +b j +c k , =b i +c j +a k and y =c i +a j +b k be three coplanar vectors with…

Mathematics · JEE Main · NTA ExamsVector Algebra

Let \(\vec{a}=a \hat{i}+b \hat{j}+c \hat{k}, \vec{\beta}=b \hat{i}+c \hat{j}+a \hat{k}\) and \(\vec{y}=c \hat{i}+a \hat{j}+b \hat{k}\) be three coplanar vectors with a ≠ b ≠ c and \(\vec{v}=\hat{i}+\hat{j}+\hat{k} .\) Then, \(\vec{\vee} \vec{v}\) is perpendicular to
  1. \(\overrightarrow{\mathrm{r}}\)
  2. \(\vec{\beta}\)
  3. \(\overrightarrow{\mathrm{Y}}\)
  4. All of these

Answer

(D) All of these

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