Vector addition by the components method In 2-D Cartesian coordinates: , xxxxyyyyV ABCVABCVaA bB cCVaAbBcCVaAbBcC=±±±⇔=±±±⇔=±±±=±±±Example Three forces A= 200 N, B= 100 N, and C= 250 Nare exerted on the pinned connector through tie rods as shown. The total force on the pin can then be obtained as F ABC=++. (1) Express the total force vector Fin vector notations by using unit vectors ˆˆand ij. (2) Find the magnitude of the total force. (3) Also find the direction of the total force by its angle measured from the +x- direction
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