Question

Find the equations of the lines joining the following pairs of vertices and then find the shortest distance between the lines

i. (0, 0, 0) and (1, 0, 2)

ii. (1, 3, 0) and (0, 3, 0)

Answer 1

We need to write this in vector form

Line I:

Equation of line passing through a (0, 0, 0) and b (1, 0, 2)

Line II:

Equation of line passing through a (1, 3, 0) and b (0, 3, 0)

The shortest distance between two skew lines is

Putting these values in the expression,