Question

The image of the point with position vector \( \hat{i} + 3\hat{k} \) in the plane \( \vec{r}\cdot(\hat{i} + \hat{j} + \hat{k}) = 1 \) is

• A. \( \hat{i} + 2\hat{j} + \hat{k} \)
• B. \( \hat{i} - 2\hat{j} + \hat{k} \)
• C. \( -\hat{i} - 2\hat{j} + \hat{k} \)
• D. \( \hat{i} + 2\hat{j} - \hat{k} \)

Hint:

Use reflection formula to find image of a point in a plane quickly.

Answer 1

The Correct Option is B