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Chapter 3
Vectors in 2-space and 3-space
3.1
solid geometry
3.2
Vectors and vector arithmetic
3.2.1
What is a vector?
3.2.2
Graphical representation
3.2.3
Equality and line of action
3.2.4
Negative of a vector
3.2.5
magnitude of a vector
3.2.6
Multiplication by a scalar
3.2.7
Unit vectors
3.3
Vector Addition
3.3.1
Triangle Law
3.3.2
Parallelogram Law
3.3.3
General Addition
3.3.4
Associativity
3.3.5
Closed sets of vectors: null vector
3.3.6
Subtraction of vectors
3.3.7
Zero or Null Vector
3.4
Vectors: Component Form
3.4.1
Components in 2 dimensions
3.4.2
Vectors in 3 dimensions
3.4.3
Sum and Difference of vectors in Component Form
3.4.4
Unit vectors
3.4.5
Scaling of Vector
3.4.6
Physical example
3.5
Vector products
3.6
The scalar or dot product
3.6.1
Component form of dot product
3.7
Angle between two vectors
3.8
Work
3.9
The vector product
3.10
*triple products*
3.10.1
Component Form
3.10.2
Some physical examples
3.11
*Vector Triple Product*
3.12
*The straight line*
3.12.1
Standard form of L
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