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

Answer

` bar r = ( 2 hati - hatj + hatk ) + lamda ( 2 hati - 2 hatj + hatk ) , (x - 2 ) /( 2 ) = ( y + 1 ) /( - 2 ) = ( z - 1 ) /(1) `