国上活大峰 Vector manipulations Vector Magnitude Head Magnitude (terminus) Direction Tail (origin) Vector can be represented Graphically rR=Ri+Ryj R=R,+jRy Analytically R=[RR,T R=Reio=R(cos0+jsin) 圈上清庆大坐 Vector manipulations Vector addition: A=Aeio B=Bei0s C=A+B C=A+B=Aeio+Beia =B+A =(Acos0+Bcoseg)+ j(Asin0+Bsin0g) AC-B Vector substraction: A=C-B=Cei@c-Beia =(Ccos0-Bcose)+ j(Csinc-Bsineg) Figure (a)Vector addition and (vector subtraction.Vector manipulations Vector  Magnitude  Direction Vector can be represented  Graphically  Analytically Head Magnitude (terminus) Tail (origin) Rx y R   jR R e (cos sin ) j R j  R     [ ]T R  R x y R Rx y R  i R  j Vector manipulations Figure (a) Vector addition and (b) vector subtraction.  B  A  B  C A j Ae  A  B j Be  B  =( cos cos )+ j( sin sin ) A B j j A B A B Ae Be A B A B           CAB =( cos cos )+ j( sin sin ) C B j j C B C B Ce Be C B C B           A CB Vector addition: Vector substraction: