1. CHAPTER 3: VECTORS
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2. INTRODUCTION Definition 3.1
a VECTOR is a mathematical quantity that has both MAGNITUDE AND DIRECTION
VECTOR: represented by arrow where the direction of arrow indicates the DIRECTION of the vector & the length of arrow indicates the MAGNITUDE of the vector.
Eg: displacement, velocity, acceleration, force, ect
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3. INTRODUCTION Definition 3.2
a SCALAR is a mathematical quantity that has MAGNITUDE only
VECTOR: represented by a single letter s.a, a.
Eg: temperature, mass, length area, ect
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4. INTRODUCTION Definition 3.3
A vector in the plane is a directed line segment that has initial point A and terminal point B, denoted by, ; its length is denoted by
Terminal Point, B
Initial Point, A
Length:
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5. Variation of vectors Definition 3.3
Vectors Negative (Opposite direction but has the same magnitude)
Definition 3.4
Two Equal vectors (If and only if they have the same magnitude and direction)
Definition 3.5
Addition of vectors
The Triangle Law
The Parallelogram Law
The Sum of a Number of Vectors

6. Variation of vectors Definition 3.6 Subtraction of vectors
Scalar Multiplication of vectors
Definition 3.8
Parallel vectors

7. Components of vectors

11. Components of vectors

12. Components of vectors

13. Magnitude (length) of vectors
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14. Magnitude (length) of vectors
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15. Magnitude (length) of vectors
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16. VECTOR ALGEBRA OPERATIONS
Definition : Vector Addition and Multiplication by a Scalar Let and be vectors with k a scalar. ADDITION : SCALAR MULTIPLICATION:
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17. ADDITION and multiplication OF VECTORS
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19. PROPERTIES OF VECTOR OPERATIONS
Let u,v,w be vectors and a,b be scalars:
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20. Unit vectors
Definition : if u is a vector, then the unit vector in the direction of u is defined as: A vector which have length equal to 1 is called a unit vector.
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21. Unit vectors
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