Find the equation of a line in cartescan form passes through the vector

Find the vector equation for the line passing through the point (-1, 0, 2) and (3, 4, 6) is

The equation of a line passing through the point(-1, 2, 3) and having direction ratios proportional to  -4, 5, 6 is

The co ordinates of the point where the line through A(5, 1, 6) and B (3, 4, 1) cross the yz - plane

The shortest distance between the lines whose vector equations are

Find the vector equation of the line joining the points whose position vectors are

The shortest distance between the planes of lines whose equations are

The cartesian equation of the line which passes through the point (-2, 4, -4) and parallel to the line given by 

is

The cartesian equation of the line is . The vector equation of the line is

The direction cosines of the line whose equations are  are