Let \[\alpha ,\beta ,\gamma \] be distinct real numbers. The points with position vectors \[\alpha \hat{i}+\beta \hat{j}+\gamma \hat{k},\beta \hat{i}+\gamma \hat{j}+\alpha \hat{k}\] and \[\gamma \hat{i}+\alpha \hat{j}+\beta \hat{k}\]

Let \[\alpha ,\beta ,\gamma \] be distinct real numbers. The points wi

1.	Let \[\alpha ,\beta ,\gamma \] be distinct real numbers. The points with position vectors \[\alpha \hat{i}+\beta \hat{j}+\gamma \hat{k},\beta \hat{i}+\gamma \hat{j}+\alpha \hat{k}\] and \[\gamma \hat{i}+\alpha \hat{j}+\beta \hat{k}\]
A.	Are collinear
B.	Form an equilateral triangle
C.	Form a scalene triangle
D.	Form a right-angled triangle
Answer» B. Form an equilateral triangle

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Let \[\alpha ,\beta ,\gamma \] be distinct real numbers. The points with position vectors \[\alpha \hat{i}+\beta \hat{j}+\gamma \hat{k},\beta \hat{i}+\gamma \hat{j}+\alpha \hat{k}\] and \[\gamma \hat{i}+\alpha \hat{j}+\beta \hat{k}\]

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