By the end of Week 3: You would learn how to solve many problems involving lines/planes and manipulate with different coordinate systems. These are.

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Presentation transcript:

By the end of Week 3: You would learn how to solve many problems involving lines/planes and manipulate with different coordinate systems. These are just few examples: Find the equation of a line that is the intersection of two given planes. Find the angle between two intersecting planes or the distance between two parallel planes. Find the distance between two parallel planes.

Parametric equations of a line in 2- or 3-space: The vector equation of a line:

Two point vector form of a line: Vector Form of a Line Segment: restricting the parameter

Exercises:

Exercises:

Exercises:

Exercises:

Equations of Planes in 3-space: the point-normal form the vector form The normal vector and the point uniquely determines the plane the general form

The Angle of Intersection of Planes: the cos of the acute angle of intersection two planes

The Distance Between the point and the plane: