Question:
If the points (1, 0, 0), (0, 3, 0) and (0, 0, 2) lie on a plane, then the unit normal vector \(\hat n\) to the plane is
If the points (1, 0, 0), (0, 3, 0) and (0, 0, 2) lie on a plane, then the unit normal vector \(\hat n\) to the plane is
Updated On: May 31, 2024
- \(\frac{1}{\sqrt{14}}(\hat{i}+3\hat{j}+2\hat{k})\)
- \(\frac{1}{7}(2\hat{i}+3\hat{j}+6\hat{k})\)
- \(\frac{1}{\sqrt{14}}(2\hat{i}+3\hat{j}+\hat{k})\)
- \(\frac{1}{7}(3\hat{i}+2\hat{j}+6\hat{k})\)
- \(\frac{1}{7}(6\hat{i}+2\hat{j}+3\hat{k})\)
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The correct option is (E) : \(\frac{1}{7}(6\hat{i}+2\hat{j}+3\hat{k})\)
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