What is the vector equation of line through the points with position vectors `hati+hatj+2hatk and 2hati+hatk`.

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.

The vector equation of a line passing through the point with position vector 2hati - hatj - 4hatk and is in the direction of hati - 2hatj + hatk is

Find the vector equation of a line which passes through the point with position vector 4hati - hatj + 2 hatk and is in the direction of - 2 hati + hatj + hatk .

Find the equation of a line passes through the points whose position vectors are (hati+4hatj+hatk) and (2hati-hatj+5hatk) .

Find the vector equation of a lin e passes through the point whose position vector is (2hati-hatj-hatk) and parallel to vector hati+5hatk .

Find the vector equation of the line passing through the point with position vector (hati-2hatj+5hatk) and perpendicular to the plane vecr.(2hati-3hatj-hatk)=0 .

The cartesian form of equation of a line passing through the point with position vector 4hati -hatj +2hatk and is in the direction of -2hati +hatj +hatk ,is

Find the vector equations of the line passing through the point having positions vector 4 hati -hatj +2hatk and parallel to the vector -2hati -hatj +hatk

Find the vector equations of the line passing through the point having positions vector -hati -hatj +2hatk and parallel to the line overset(-) r = ( hati+ 2hatj + 3hatk ) +mu (3hati + 2hatj +hatk) , mu is a parameter .

The vector equation of the line passing through a point with position vector 2hati-hatj+hatk and parallel to the line joining the points with position vectors -hati+4hatj+hatk and hati+2hatj+2hatk is r=(2hati-hatj+hatk)+lambda(xhati-2hatj+hatk) where x is equal to