If A(1, 1, 2), B(2, 1, 2), C(2, 2, 1),then A, | vedclass

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(A) To determine if the points $A(1, 1, 2), B(2, 1, 2)$,and $C(2, 2, 1)$ are collinear,we calculate the vectors $\vec{AB}$ and $\vec{BC}$.$\vec{AB} =

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vertices of a triangle

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(A) To determine if the points $A(1, 1, 2), B(2, 1, 2)$,and $C(2, 2, 1)$ are collinear,we calculate the vectors $\vec{AB}$ and $\vec{BC}$.$\vec{AB} = (2-1)\hat{i} + (1-1)\hat{j} + (2-2)\hat{k} = 1\hat{i} + 0\hat{j} + 0\hat{k} = \hat{i}$.$\vec{BC} = (2-2)\hat{i} + (2-1)\hat{j} + (1-2)\hat{k} = 0\hat{i} + 1\hat{j} - 1\hat{k} = \hat{j} - \hat{k}$.Since $\vec{AB}$ and $\vec{BC}$ are not parallel (they are not scalar multiples of each other),the points are not collinear.Three non-collinear points in space always form the vertices of a triangle.Therefore,$A, B, C$ are vertices of a triangle.

If $A(1, 1, 2), B(2, 1, 2), C(2, 2, 1)$,then $A, B, C$ are $........$

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