Find the vector and Cartesian equation of the plane that passes throgh the point (1,0,-2) and the normal vector to the plane is `hati+hatj-hatk.`

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

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

Find the vector and cartesian equation of plane which passes through the point (1,3,-2) and normal to the vector (2hati+hatj-2hatk) .

Find the equation of the plane passes through the point (2,1,-2) and parallel to the plane vecr.(3hati+hatj-hatk) = 0 .

Write the vector equation of the plane passing through the point (a, b,c) and parallel to the plane vecr. (hati + hatj + hatk) = 2.

Find the equation of the plane through the point (3,4,-5) and parallel to the vectors 3hati+hatj-hatk and hati-2hatj+hatk .

Find the Cartesian equation of the plane passing through point A(1, 2, 3) and which is perpendicular to a vector vecn=2hati-3hatj+4hatk

Find the vector equationof the line passing through the point (3,1,2) and perpendicular to the plane vecr.(2hati-hatj+hatk)=4 . Find also the point of intersection of this line and the plane.

Find the Cartesian equation of the plane vecr.(2hati-3hatj+5hatk)=1 .

Find the Cartesian equation of the plane, passing through the line of intersection of the planes: vecr.(2hati+3hatj-4hatk)+5=0 and vecr.(hati-5hatj+7hatk)+2=0 and intersecting Y-axis at (0, 3,0).