Further vectors. Vector line equation in three dimensions.

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Presentation transcript:

Further vectors

Vector line equation in three dimensions

Non-uniqueness of the vector line equation in three dimensions

Parallel lines in three dimensions

Intersecting lines in three dimensions

Skew lines in three dimensions

Cartesian equation of the line

Projections

Direction ratios, direction cosines Do Exercise 6A, pp

Vector product

Properties of the cross product

Cross product in component form

The plane equation

Cartesian form of the plane Do Q1, Q2, Q3 p.114

Distance of a point from a plane

A useful formula

Another useful formula Do Q4 - Q35, pp