A) Are collinear
B) Form an equilateral triangle
C) Form a scalene triangle
D) Form a right-angled triangle
Correct Answer: A
Solution :
[a] \[\alpha ,\beta \] and \[\gamma \] be distinct real numbers \[\alpha \hat{i}+\beta \hat{j}+\gamma \hat{k};\beta \hat{i}+\gamma \hat{j}+\alpha \hat{k};\gamma \hat{i}+\alpha \hat{j}+\beta \hat{k}\] \[\vec{\alpha },\vec{b}\] and \[\vec{c}\] are collinear If \[a=\alpha ,\beta =\beta ,c=\gamma (\because \alpha =\hat{i}+\hat{j}+\hat{k})\]
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