Distance Between Point and Plane

Let A,B,C be points with position vectors 2hati-hatj+hatk,hati+2hatj+hatkand 3hati+hatj+2hatk respectively. Find the shortest distance between point B and plane OAC.

Let A,B,C be points with position vectors 2hat i-hat j+hat k,hat hat i+2hat j+hat k and 2hat i+hat j+2hat k respectively.Find the shortest distance between point B and plane OAC.

Let A,B,C be points with position vectors r_1=2hati-hatj+hatk,r_2=hati+2hatj+3hatk and r_3=3hati+hatj+2hatk relative to the origin O. Find the shortest distance between point B and plane OAC.

Let A, B, C be points with position vectors r_(1)=2hati-hatj+hatk, r_(2)=hati+2hatj+3hatk and r_(3)=3hati+hatj+2hatk relative to the origin 'O'. The shortest distance between point B and plane OAC is

Theorem in Plane|| Theorem in Space|| Distance Between Point & a Line|| Distance Between Parallel Lines|| Shortest Distance Between Skew Lines

Distance Between A line and a points

Find the distance between origin and the point (a, -b).

Perpendicular distance between point & line || Distance between two parallel line || Image OF a point with respect to various cases || Area OF parallelogram & Isosceles triangle

Distance between two points

Distance between lines, point and plane