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

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

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

The vector equation of the plane passing through the points hati+hatj-2hatk,2hati-hatj+hatk and hati+hatj+hatk , is

Findthe equation of the line passing through points hati-2hatj+hatk and -2hatj+3hatk in vector form and Cartesian form.

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.

Findthe vector equation of a straighat line which passes through the points whose position vector are hati-2hatj+hatk and 3hatk-2hatj.

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) .

The position vector of the point in which the line joining the points hati-2hatj+hatk and 3hatk-2hatj cuts the plane through the origin and the points 4hatj and 2hati+hatk is