# Find the equation of the plane passing through the three points (2,2,0), (1,2,1), (-1,2,-2).

Category: QuestionsFind the equation of the plane passing through the three points (2,2,0), (1,2,1), (-1,2,-2).
Editor">Editor Staff asked 11 months ago

Find the equation of the plane passing through the three points (2,2,0), (1,2,1), (-1,2,-2).

(a) $$(\vec{r}-(2\hat{i}+2\hat{j})).[(-\hat{i}+\hat{k})×(-3\hat{i}-2\hat{k})]$$=0

(b) $$(\vec{r}-(3\hat{i}-2\hat{k})).[(-\hat{i}+\hat{k})×(2\hat{i}-2\hat{j})]$$=0

(c) $$(\vec{r}+(2\hat{i}+2\hat{j})).[(-\hat{i}-\hat{k})×(-3\hat{i}-2\hat{k})]$$=0

(d) $$(\vec{r}-(2\hat{i}+2\hat{j})).[(-\hat{i}-\hat{k})×(3\hat{i}+2\hat{k})]$$=0

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Origin of the question is Three Dimensional Geometry in portion Three Dimensional Geometry of Mathematics – Class 12
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