CHAPTER 1 VECTOR SCALARS AND B C A Q P O D R A B B C     OP PQ OQ A B     and PQ QR PR B C        OP PR OR D i.e. A D A      OQ QR OR D i.e. B C D B  A then A   C   B C Thus the order of addition of any number of vectors is immaterial. COMPONENTS OF A VECTOR Any vector in 3-dimensions can be represented with initial point at the origin O of a A Z rectangular coordinate system. Y A3kˆ O A2 ˆj A1iˆ X Let (A1, A2, A3) be the rectangular coordinates of the terminal point of vector with A initial point at O. The vectors are called the component vectors of A1iˆ, A2 and A3kˆ ˆj
CHAPTER 1 VECTOR AND SCALARS A P B Q C O A B D B C R OP  PQ  OQ  A  B and PQ  QR  PR  B  C OP  PR  OR  D i.e. A     D OQ  QR  OR  D i.e. A  B C  D then A  B  C   A  B C Thus the order of addition of any number of vectors is immaterial. COMPONENTS OF A VECTOR Any vector A in 3-dimensions can be represented with initial point at the origin O of a rectangular coordinate system. Z X A1iˆ O A2 ˆj A3kˆ Y Let (A1, A2, A3) be the rectangular coordinates of the terminal point of vector A with initial point at O. The vectors A1iˆ, A2 ˆj and A3kˆ are called the component vectors of