Find the vector equation of a line parallel to the vector `2hati-hatj+2hatk` and passing through a point A with position vector `3hati+hatj-hatk`.

Find the vector equation of the line which is parallel to the vector 3hati-2hatj+6hatk and which passes through the point (1,-2,3) .

Find the vector equation of the line which is parallel to the vector 3hati-2hatj+6hatk and which passes through the point (1,-2,3) .

Find the vector equation of the line which is parallel to the vector 3hati-2hatj+6hatk and which passes through the point (1,-2,3) .

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

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 and 2hati+hatj+3hatk . Also find the Cartesian equation of this line.

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

Find the unit vector parallel to the resultant vector of 2hati+4hatj-5hatk and hati+2hatj+3hatk .

Two forces -hati+2hatj-hatk and 2hati-5hatj+6hatk act on a particfle whose position vector is 4hati-3hatj+2hatk and displace it to another point whose positon vector is 6hati+hatj-3hatk . Find the total work done by the force.

What is the vector equation of the straight lines through the point hati-2hatj+hatk and 2hati +k ?