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

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

A unit vector perpendicular to the plane passing through the points whose position vectors are hati-hatj+2hatk, 2hati-hatk and 2hati+hatk is

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 vector equation of a line through the point (-3, 2, -4) and is parallel to the vector 3hati + 2hatj+ 4hatk .

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

Show that the three points whose position vectors are -3hati+hatj+5hatk, 2hati+3hatk, -13hati+3hatj+9hatk are collinear

The vector equation of a plane passing through a point having position vector 2hati+3hatj-4hatk and perpendicular to the vector 2hati-hatj+2hatk , is