Shortest distance between two skew lines in vector + cartesian form

Shortest distance between two parallel lines in vector + cartesian form

Angle between two lines in vector and cartesian form

Shortest Distance Between Line

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

Find the shortest distance between the skew lines vecr=shatk and vecr=(1-t)hati+thatj

Let A( vec a)a n dB( vec b) be points on two skew lines vec r= vec a+lambda vec pa n d vec r= vec b+u vec q and the shortest distance between the skew lines is 1, w h e r e vec pa n d vec q are unit vectors forming adjacent sides of a parallelogram enclosing an area of 1/2 units. If angle between A B and the line of shortest distance is 60^0, then A B= a. 1/2 b. 2 c. 1 d. lambda R={0}

Let A( vec a)a n dB( vec b) be points on two skew lines vec r= vec a+lambda vec pa n d vec r= vec b+u vec q and the shortest distance between the skew lines is 1, w h e r e vec pa n d vec q are unit vectors forming adjacent sides of a parallelogram enclosing an area of 1/2 units. If angle between A B and the line of shortest distance is 60^0, then A B= a. 1/2 b. 2 c. 1 d. lambda R={10}

Let A( vec a)a n dB( vec b) be points on two skew lines vec r= vec a+lambda vec pa n d vec r= vec b+u vec q and the shortest distance between the skew lines is 1, w h e r e vec pa n d vec q are unit vectors forming adjacent sides of a parallelogram enclosing an area of 1/2 units. If angle between A B and the line of shortest distance is 60^0, then A B= a. 1/2 b. 2 c. 1 d. lambda R={10}

Let A( vec a)a n dB( vec b) be points on two skew lines vec r= vec a+lambda vec pa n d vec r= vec b+u vec q and the shortest distance between the skew lines is 1, w h e r e vec pa n d vec q are unit vectors forming adjacent sides of a parallelogram enclosing an area of 1/2 units. If angle between A B and the line of shortest distance is 60^0, then A B= a. 1/2 b. 2 c. 1 d. lambda R={10}

Given a tetrahedron DABC with AB = 12, CD = 6. If the shortest distance between the skew lines AB and CD is 8 and the angle between them is (pi)/(6) , then the volume of tetrahedron (in cubic is