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The point P belongs to the plane π if the vector Vector is coplanar with the vectors and Vector Equation of the Plane.

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Presentation on theme: "The point P belongs to the plane π if the vector Vector is coplanar with the vectors and Vector Equation of the Plane."— Presentation transcript:

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2 The point P belongs to the plane π if the vector Vector is coplanar with the vectors and Vector Equation of the Plane

3 Parametric Equations of the Plane

4 Cartesian Equation of the Plane A point is in the plane π if the system has the solution: The values are given as:

5 Intercept Form A(a, 0, 0), B(0, b, 0) and C(0, 0, c).

6 Examples 1.Find the equations of the plane that pass through point A = (1, 1, 1) and their direction vectors are:

7 2.Find the equations of the plane that pass through points A = (−1, 2, 3) and B = (3, 1, 4) and contains the vector

8 3.Find the equations of the plane that pass through points A = (−1, 1, −1), B = (0, 1, 1) and C = (4, −3, 2).

9 LOREM IPSUM DOLOR http://www.vitutor.com/geometry/space/plane_equation.html


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