Shortest distance between two parallel lines in vector + cartesian form

Distance between two parallel planes

Shortest distance between two skew lines in vector + cartesian form

Angle between two lines in vector and cartesian form

Shortest Distance Between Line

Statement 1: The shortest distance between the lines x/2=y/(-1)=z/2 and (x-1)/(-2)=(y-1)/-2=(z-1)/4 is sqrt(2) . Statement 2: The shortest distance between two parallel lines is the perpendicular distance from any point on one of the lines to the other line.

Equation of Plane Bisecting the angle between two planes in vector and cartesian form

The distance between two parallel lines can be taken out by the formula

Shortest Distance Between Two Moving Particle

The distance between two parallel lines is unity. A point P lies between the lines at a distance a from one of them. Find the length of a side of an equilateral triangle PQR vertex Q of which lies on one of the parallel lines and vertex R lies on the other line.

The distance between the two parallel lines is 1 unit. A point A is chosen to lie between the lines at a distance 'd' from one of them Triangle ABC is equilateral with B on one line and C on the other parallel line. The length of the side of the equilateral triangle is