1. Section 1.2 Vectors in 3-dim space
Two approaches to vectors
Algebraic
Geometric

2. Example: A = < -3, 5, 17/3>
DEFINITION: A vector in 3-space is an ordered triple of real numbers <a,b,c>. The real numbers are the components of the vector.
Example: A = < -3, 5, 17/3>

3. DEFINITION: The vector space R^3 is the collection of all order triples A = <a,b,c> where a, b and c are arbitrary real numbers. The vectors obey two operations, called addition (+) and scalar multiplication (.), which we now define.

6. More definitions

7. More definitions

8. More definitions
DEFINITION: A vector is a UNIT VECTOR if its magnitude is equal to 1.

9. More definitions

10. More definitions

11. More definitions

12. A fundamental construction*

13. A fundamental construction*