Answer 1

It is given that the line passes through the point with position vector

It is known that a line through a point with position vector `veca` and parallel to `vecb` is given by the equation, `vecr = veca + lambdavecb`

`=> vecr = 2hati - hatj +4hatk + lambda(hati+2hatj-hatk)`

This is the required equation of the line in vector form.

This is the required equation of the given line in Cartesian form.