Plane

Define plane and find distance from $\left(1,2,3\right)$ to $2x+3y-4=0$.

Define plane and find distance from $\left(1,2,3\right)$ to $3x+2y-4=0$.

Define plane and find distance from $\left(1,2,3\right)$ to $2z+x-2=0$.

Define plane and find distance from $\left(1,2,3\right)$ to $2x+3z-4=0$.

How a plane is determined in $3D$ with respect to another plane. Find the distance from $\left(1,2,3\right)$ to plane $2x+3y-4=0$.

How a plane is determined in $3D$ with respect to another plane. Find the distance from $\left(1,2,3\right)$ to plane $3x+2y-4=0$.

Find the axis to which the plane $3x+2y-4=0$ is parallel to. Find the distance from $\left(1,2,3\right)$ to plane.

Find the axis to which the plane $2z+x-2=0$ is parallel to. Find the distance from $\left(1,2,3\right)$ to plane.

Find the axis to which the plane $4x+2z=1$ is parallel to. Find the distance from $\left(1,2,3\right)$ to plane.

Find the axis to which the plane $2x+3z=4$ is parallel to. Find the distance from $\left(1,2,3\right)$ to plane.

Define plane and find distance from $\left(1,2,3\right)$ to $2x+3y+4z-5=0$.

The equation of the plane passing through $(-2,1,3)$ and having $(3,-5,4)$ as direction ratios of its normal is

The equation of the plane passing through $(2,3,4)$ and perpendicular to $X-$axis is

Find the constant $k$ so that the planes $x-2y+kz=0$ and $2x+5y-z=0$ are at right angles.

If the foot of the perpendicular from origin to the plane is $(1,3,-5)$ then the equation of the plane is

If the equation of the plane passing through the point $(-1, 2, 1)$ and perpendicular to the line joining the points $(-3,1,2)$ and $(2,3,4)$ is $5x+2y+2z-k=0$, then find the value of $k$.

If the equation of the plane passing through the origin and parallel to the plane $2x-3y+7z+13=0$ is of the form $ax+by+cz=0$ then, find the value of $a+b+c$.

The equation of the plane passing through the point $(1,4,-2)$ and parallel to the plane $2x–y+3z+7=0$ is

The equation of the plane parallel to the plane $2x–3y+5z+7=0$ and passing through the point $(3,4,- 1)$ is

Find the equation of the plane passing through the point $\left(1,1,2\right)$ having $2,3,2$ as direction ratios of normal to the plane.