Consider the points A(2,2,-1), B(3,4,2) and C(7,0,6).
Find the vector and Cartesian equation of the plane passing these three points.
Find the angle between the above plane and the line `barr=(i+2j-k)+lambda(i-j+k)`

Consider the points A(2,2,-1), B(3,4,2), C(7,0,6).Find the Cartesian and vector equation of the plane passing through these points.

Consider the points A(3,-4,-5) and B(2,-3,1) Find the vector and Cartesian equation of the line passing through the points A and B.

Consider three points on space (2,1,0),(3,-2,-2) and (3,1,7). Find the Cartesian equation of the plane passing through the above points.

Consider three points (6,-1,1), (5,1,2) and (1,-5,-4) on space. Find the Cartesian equation of the plane passing through these points .

Consider the points A(2,3,1) and B(3,-4,5). Find the vector and Cartesian equations of the line through A and B.

Consider three points on space (2,1,0),(3,-2,-2) and (3,1,7).Find the Cartesian equation of the plane passing through the above points.Convert the equation into vector form.

Consider three points on space (2,1,0),(3,-2,-2) and (3,1,7) Find the Cartesian equation of the plane passing through the above points. find a unit vector perpendicular to the plane and also find the perpendicular distance of the plane from the origin..

Find the vector and cartesian equations of the plane that passes through the point (1, 0, -2) and normal to the plane is hati+hatj-hatk

Find the vector and cartesian equations of the plane that passes through the point (1, 4, 6) and normal to the plane is hati-2hatj+hatk

Find the Cartesian equation of the plane passing through the point (1,2,-3) perpendicular to the vector2i-j+2k .