OF2 Vectors Topics

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Vectors

1. Basic Concepts

Scalar

Vector

Magnitude

Direction

Notation

2. Basic Operations

Addition

Subtraction

Multiplication

Parallelograms

Unit Vectors

3. Position Vectors

4. Cartesian Co-Ordinates

2-D

Basis Vectors (i,j)

Row or Column Notation

Addition and Subtraction

Position Vectors

Modulus of a Vector

3-D

Basis Vectors (i,j,k)

Parallel, Equal and Unit Vectors

5. Vector Multiplication

Scalar Product

Scalar Product Formula

6. Resolving A Vector along another

Finding the Angle Between Vectors

7. Lines and Planes

Vector Equation of a Line

Vector Equation of a Plane

Cartesian Equation of Plane

8. Further 3-D Geometry

Intersection of Lines

Lines intersecting Planes

9. Vector Product

Right-Hand Screw Rule

General Formula

Applications of Vector Product

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