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

• A. $\frac{1}{\sqrt{14}}(\hat{i}+3\hat{j}+2\hat{k})$
• B. $\frac{1}{7}(2\hat{i}+3\hat{j}+6\hat{k})$
• C. $\frac{1}{\sqrt{14}}(2\hat{i}+3\hat{j}+\hat{k})$
• D. $\frac{1}{7}(3\hat{i}+2\hat{j}+6\hat{k})$
• E. $\frac{1}{7}(6\hat{i}+2\hat{j}+3\hat{k})$

Answer 1

Answer: (E)

$\frac{1}{7}(6\hat{i}+2\hat{j}+3\hat{k})$

Answer 2

The correct option is (E) : $\frac{1}{7}(6\hat{i}+2\hat{j}+3\hat{k})$