GSPk F($  capm dt7( >Drag the points (a + ib) and (c + id) and watch what happens.%t=BE( A}EЃ CHEԋE+E+E{3EE+E+E{3M؍UECC t( a + i bF F :2F '>$G6f)F 6CgC"t, 1n( c + i dF F :2F '>$G6f)F B DC!t!%(@zDPT<{@l<COMPLEX MULTIPLICATIONtw|( FCC tFd( 5Multiplication of complex numbers in algebraic termstXv( 5Multiplication of complex numbers in geometric termsYt8( Notice that the complex number (a + ib)(c + id) has length equal to the product of the lengths of (a + ib) and (c + id). Also, the polar angle of (a + ib)(c + id) is the sum of the polar angles of (a + ib) and (c + id).$t=BB( 6BEMCUEMKUM܋MEċCE܉E9ME9CtCC  tBs( jfC f%f f3ff3ʋfsfS fK SfC CgCCC? t 1B\( kf}lufE}Eu } DCCC?t$'q?( c1CC4BF%5?F%5?#t N Nu( 2CoordSysKLC<+C4+{H;uu ;Et3s,uVuuPWuSuS$CC@X@ t(  I\Cb|C  t#((  J( ( GCBC  "t: NT( 4G2x>t?P2>D`B> D?D?P2>>O>P2>CDCB?tv( m1F~ufE[+Mfyu:f}%sO:|:| c + i d: Coordinate(Point c + i d): tyjj( m2jjjjShZu'uQ,MUE`t a + i b: Coordinate(Point a + i b): t4( m10 c + i d: Coordinate(Point c + i d): t1( m11 a + i b: Coordinate(Point a + i b): tP@( c=  x{l:c + i d} = c =  tQ,( d= ^^^^^^^^^^^^^^^^ y{l:c + i d} = d =  tN( a= ^^^^^^^^^^^^^^^^ x{l:a + i b} = a =  tN( b= ^^^^^^^^^^^^^^^^ y{l:a + i b} = b =  t( m7^^^^^^^^^^^^^^^^^ {(:a{!:*}c - b{!:*}d} = (a*c - b*d) =  t( m8^^^^^^^^^^^^^^^^^ {(:a{!:*}d + b{!:*}c} = (a*d + b*c) =  tuz( ;(a+ib)(c+id)F F :2F '>$G6f)F ZCB3 ttB( l@@,lT<@<\l CBCC?t&( m9(a+ib)(c+id): Coordinate(Point (a+ib)(c+id)): t(  KHC2lC  "(MS Sans Serif>