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Vectors: planes. The plane Normal equation of the plane.

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Presentation on theme: "Vectors: planes. The plane Normal equation of the plane."— Presentation transcript:

1 Vectors: planes

2

3 The plane

4 Normal equation of the plane

5 Cartesian equation of the plane

6 An example

7 Intersection of a line and a plane

8 Does a line lie in a plane? Do Exercise 13A, p.179

9 Distance from a point to a plane Do Q6, Q7, pp185-186.

10 Angle between a line and a plane Do Q10, p.186

11 Finding a common perpendicular Remembering this vector:

12 Plane through three points Do Q1-Q5, Q14, pp.185-186

13 Line of intersection of two planes Note that the angle between two intersecting planes is defined as the angle between their normals. Do Q12, Q13, p.186 and Q2, p.186


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