Findthe vector equation of a straighat line which passes through the points whose position vector are `hati-2hatjj+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 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 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 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 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 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 equation of a line passing through the point with position vector (2 hati - 3 hatj - 5 hatk) and perpendicular to the plane vec(r). (6 hati - 3 hatj - 5 hatk) + 2 = 0. Also find the point of intersection of this line and the plane.

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

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