engineering recuitment AAI ATC Junior Executive 2025 Mock Test Series Mathematics Three Dimensional Geometry Distance from a Plane
What is the distance of the point whose position vector is \(\rm 2\vec i-\vec j-3\vec k\) from the plane \(\rm \vec r.(\vec i+2\vec j-4\vec k) = 9\)?
1
\(\rm \dfrac{3}{7}\)
2
\(\rm \sqrt{\dfrac{3}{7}} \)
3
\(\rm \sqrt{\dfrac{3}{21}} \)
4
\(\rm \dfrac{3}{\sqrt{7}}\)