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

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Presentation transcript:

Vectors: planes

The plane

Normal equation of the plane

Cartesian equation of the plane

An example

Intersection of a line and a plane

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

Distance from a point to a plane Do Q6, Q7, pp

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

Finding a common perpendicular Remembering this vector:

Plane through three points Do Q1-Q5, Q14, pp

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