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

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

Find the vector equations of the plane passing through the points 3 hati+ 4 hatj+2 hatk, 2hati-2 hatj -hatk and 7 hati+6 hatk .

Find the vector equation of the plane passing through the point hati + hatj -2hatk and hati + 2hatj + hatk, 2hati - hatj + hatk.

Find the vector equation of the line passing through the point 2 hati + hatj - 3 hatk and perpendicular to the vectors hati + hatj + hatk and hati + 2 hatj - hatk .

Find the vector equation of the plane passing through the point (3hati+4hatj+2hatk) and parallel to the vectors (hati+2hatj+3hatk) and (hati-hatj+hatk) .

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

The vector equation of the line passing through hati-hatj+3hatk and parallel to 3hati+2hatj-5hatk is

The equation of plane passing through the point hati+hatj+hatk and paralel to the plane vecr.(2hati-hatj+2hatk)=5 is