Find a unit vector normal to the plane ABC as shown in the figure given below. Note that a vector normal to the plane will be perpendicular to any two of AB, AC and BC vectors.

A \( \frac{1}{\sqrt{6}} \left ( \hat{i} + 2 \hat{j} + \hat{k} \right ) \)

B \( \frac{1}{\sqrt{3}} \left ( \hat{i} + \hat{j} + \hat{k} \right ) \)

C \( \frac{1}{\sqrt{2}} \left ( \hat{i} + \hat{k} \right ) \)

D \( \frac{1}{\sqrt{2}} \left ( \hat{i} + \hat{j} \right ) \)

Solution

Correct Answer: Option B

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