Plane Parallel To Xy Plane

If a plane section is taken parallel to the xy plane the result is an isoquant showing the various combinations of labor and capital usage that would result in the level of output given by the height of the plane section. To verify if they are parallel we must check that their normal vectors are equal or if they are proportional.

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1 the equation of the plane which is parallel to the x y xy x y plane is z c.

Plane parallel to xy plane. The equation of the plane parallel to xy plane is z k constant the constant is z coordinate of any point on the plane. So the line and the plane are neither orthogonal nor parallel. 2 the equivalence of the plane which is parallel to the yz plane is x a.

We can say that two planes that are parallel if their normal vectors are parallel. Find an equation of the plane that passes through the point 1 2 3 and is parallel to the xy plane. Vec n centerdot vec v 0 0 8 8 ne 0 the two vectors aren t orthogonal and so the line and plane aren t parallel.

We are given a point in the plane. Or the constant can be z intercept of the plane. The equation of planes which are parallel to each of the xy yz and xz planes and passing through a point a a b c a a b c is considered as follows.

2 the equation of the plane which is parallel to the y z yz y z plane is x a. Image will be added soon 1 the equivalence of the plane which is parallel to the xy plane is z c. In other words if vec n and vec v are orthogonal then the line and the plane will be parallel.

The normal vector must be perpendicular to the xy plane so we can use the direction vector for the z axis n h0 0 1i. The equation of a plane which is parallel to each of the x y xy x y y z yz y z and z x zx z x planes and going through a point a a b c a a b c a a b c is determined as follows.

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