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&Oslash;&acute;&Oslash;&plusmn;&Oslash;&shy; B3

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Unformatted text preview: : Y x , y (-,+) The second (+,+) The first quarter X (-,-) The third quarter (+,-) The fourth quarter y x (+,+) y x (- , +) ...... B3 b3 Vectors Magnitude Direction Sine rule Cosine rule -1 -2 -3 -4 -5 Vectors : : v=3i +(-5)j Y (5-) x 3 x y (3 ,5-) : U=2i + 5j V=3i +4j 2u+ 3j w : W= 2u + 3v (2u = 2*(2i + 5j 2u= 4i + 10j (10 ,4) (3j= 3(3i + 4j 3j = 9i + 12j (12 ,9) w (w = (4, 10) + (9, 12 y x W= 13i + 22j Magnitude : : Magnitude a12 + a2 2 a U= 2i + 5j Magnitude a1 = 2 a2 = 5 direction : : : direction sinC c U=2i + 5j : : a=2 b=5 tan -1 5 = 68.198 2 Sine rule : cosine rule sine rule Sin rule : sin A sin B sin C = = a b c : : A) = 50) a)=5) b)=3) c c sin 50 sin B = 5 3 ( * ) sin 50 B 180 C B sinC c Cosine rule : Cos rule b 2 + c 2 - a2 2bc 2 c + a2 - b 2 cos B = 2ac 2 a +b 2 -c 2 cosC = 2ab cos A = : a)=4) b)=5 ) C=60 Cos C C c =180 = = - (180 = - ( ) 180 : : : ...
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