List of top Mathematics Questions on Distance of a Point from a Plane asked in MET

The distance of the point \( (1,-5,9) \), from the plane \( \vec{r}\cdot(\hat{i}-\hat{j}+\hat{k}) = 5 \) measured along the line \( \vec{r} = \hat{i} + \hat{j} + \hat{k} \) is

The image of the point (3, 2, 1) in the plane $2x - y + 3z = 7$ is

The distance of the point $(1, 2, 3)$ from the plane $x + 2y + 2z + 5 = 0$ is: