Find the vector equation of the line through the point whose position vector is `2hati-hatj+hatk` and parallel to the line joining the points whose position vectors are `hati+4hatj+hatk` and `hati+2hatj+2hatk`. Also find the cartesian equation of the line.

Answer

`vecr=(2hati-hatj+hatk)+lambda(2hati-2hatj+hatk)`
`(x-2)/(2)=(y+1)/(-2)=(z-1)/(1)`