Find a unit vector perpendicular to the plane determined by the points `(1,-1,2),(2,0,-1)a n d(0,2,1)dot`

Find the vector perpendicular to the plne determined by the points P(1,-2,2), Q(2,0,-1 ) and R(0,2,1)

A unit vector n perpendicular to the plane determined by the points A (0, -2, 1), B (1, -2, -2) and C (-1, 1, 0)

Find the unit vector perpendicular to the plane of a triangle passing through the points (1,1,2),(2,3,5) and (1,5,5)

Find a unit vector normal to the plane through the points (1, 1, 1), (-1, 2, 3) and (2, -1, 3) .

Find the vector equation of the point determined by the points A (3,-1,2), B (5, 2, 4) and C (-1, -1, 6) Hence, find the distance of the plane, thus obtained, from the origin.

Find the vector equation of the plane passing through the points (1,1,0),(1,2,1) and (-2,2,-1)

Coordinate of a point Q such that PQ, where P(2,1,6) is perpendicular to the plane determined by (2,1,0),(5,0,1) and (4,1,1) and mid-point of PQ lies on it,is

Find the equation of a plane passing through the pint P(6,\ 5,\ 9) and parallel to the plane determined by the points A(3,\ -1,\ 2)B(5,\ 2,\ 4)a n d\ C(-1,\ -1,\ 6)dot Also find the distance of this plane from the point A.

The vector equation of the plane passing through the points (1,-2,1),(2,-1,-3) and (0,1,5) is

vector equation of the plane passing through the points (1,-2,5),(0,-5,-1) and (-3,5,0) is