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`

The unit vector perendicular to the plane determined by P (1,-1,2) ,C(3,-1,2) is ________.

Find the area of the square formed by the points (0, -1), (2, 1) (0, 3) and (-2, 1) as vertices.

Find the equation of the line passing through the points (1,2,3)a n d(-1,0,4)dot

Find the vector and cartesian equation of the line joining the points (1, -2, 1) and (0, -2, 3).

Find the vector and cartesian equations of the plane passing through the points A(1, -2, 3) and B(-1,2,-1) and is parallel to the line (x-2)/(2)=(y+1)/(3)=(z-1)/(4) .

Given four points A(2, 1, 0), B(1, 0, 1), C(3, 0, 1) and D(0, 0, 2) . Point D lies on a line L orthogonal to the plane determined by the points A, B and C.

Find the equation of the plane passing through the points (3, 4, 2), (2, -2, -1) and (7, 0, 1).

Find the vector and certesian equation of the plane through the points (1, 2, 3) and (2, 3, 1) and perpendicular to the plane vecr*(3hati-2hatj+4hatk)=5 .

Find the equation of the plane passing through the points (1,0,-1)a n d(3,2,2) and parallel to the line x-1=(1-y)/2=(z-2)/3dot

Find the vector and Cartesian equations of the plane passing through the point (1,1,-1) and perpendicular to the planes x + 2y + 3z - 7 = 0 and 2x - 3y + 4z = 0