Planes in Space.

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Presentation transcript:

Planes in Space

How do we describe the common properties of the set of points/lines in a plane?

Cartesian form of a plane ax+ by + cz = d Example-1: Find the Cartesian equation of the plane containing the point A(3,1,1) and with the normal vector given by n = 3i-2j+4k.

Example-2: Find the equation of the plane containing the points A(2,1,1), B(0,4,1) and C(-2,1,4).

Intersection of Two Planes 1. When do we say two planes are parallel? 2. How about perpendicular? 3. If two planes intersect, what will be formed?

4. How can we determine the angle between two intersecting planes?

Class work

Class work Find the equation of the planes:

Wednesday Quiz on Vectors