CHAPTER 1 VECTOR SCALARS AND Example 1.2 Find the sum or resultant of the following displacements: :10m Northwest; : 20m 300 north of east; C :35m due south. A B N B Q 300 45 O 600 R W D E S Scale:5m A C The resultant is formed by joining the initial part of to the terminal part of C, D A i.e.    . Graphically, the resultant is measured to have magnitude of 4.1 D A B C units=20.5m and direction 600 south of E. VECTOR ALGEBRA If , and are vectors and m and n are scalars, then C A B 1. Commutative law of addition. Example;    A B B A R B B A C Q AB P A O     We note that OP PQ OQ or A B C     and OR RQ OQ or B A C    then A B B A     2. A   C Associative law of addition. As an illustration, we show that addition of vectors is associative, i.e.
CHAPTER 1 VECTOR AND SCALARS Example 1.2 Find the sum or resultant of the following displacements: A :10m Northwest; B : 20m 300 north of east; C :35m due south. N B 300 Q W Scale:5m A C 45 O 600 D S R E The resultant D is formed by joining the initial part of A to the terminal part of C, i.e. D  A  B  C . Graphically, the resultant is measured to have magnitude of 4.1 units=20.5m and direction 600 south of E. VECTOR ALGEBRA If A , B and C are vectors and m and n are scalars, then 1. A  B  B  A Commutative law of addition. Example; O A P B C AB B R Q A We note that and then OP  PQ  OQ or A  B  C OR  RQ  OQ or B  A  C A  B  B  A 2. A       C Associative law of addition. As an illustration, we show that addition of vectors is associative, i.e.