Find the vector equation of a line passing thorugh a point with position vector `2hati-2hatj+hatk` and parallel to the line joining the point with the position vectors `-hati+3hatj+hatk`. Also find the Cartesian equation of this line.

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.

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 .

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

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

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

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

Find the vector equation of the plane passing thrugh a point having position vector 3hati-3hatj+hatk and perpendicular to the vector 4hati+3hatj+2hatk.

The cartesian equation of a line passing through the point having position vector 2hati +hatj - hatk and parallel to the line passing joining the points -hati + hatj + 4hatk and hati + 2hatj + 2hatk , is

Find the vector equation of a line passes through the point hati+3hatj+hatk and parallel to vector 3hati-2hatj+k .