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Further vectors. Vector line equation in three dimensions.

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Presentation on theme: "Further vectors. Vector line equation in three dimensions."— Presentation transcript:

1 Further vectors

2 Vector line equation in three dimensions

3 Non-uniqueness of the vector line equation in three dimensions

4 Parallel lines in three dimensions

5 Intersecting lines in three dimensions

6 Skew lines in three dimensions

7 Cartesian equation of the line

8 Projections

9 Direction ratios, direction cosines Do Exercise 6A, pp.100-102

10 Vector product

11 Properties of the cross product

12 Cross product in component form

13 The plane equation

14

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

16 Distance of a point from a plane

17 A useful formula

18 Another useful formula Do Q4 - Q35, pp.114-121


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