VectorsCOMPONENT ADDITION METHODRev. 0Page 21CP-023.Mathematically combine all y-axis components (+y at 270 = -y at 90 ).o o4.Resulting (x,y) components are the (x,y) components of the resulting vector.The following examples illustrate vector addition using the component addition method.Example 1:Given the following vectors what are the coordinates of the resultant vector, that is, the sum of thevectors?F = (4,10), F = (-6,4), F = (2,-4), and F = (10,-2)1 2 3 4Step 1.Determine the x- and y-axes components of all four original vectors.x-axes components = 4, -6, 2, 10y-axes components = 10, 4, -4, -2Step 2.Mathematically combine all x-axis components.F = 4 + (-6) + 2 + 10xF = 4 - 6 + 2 + 10xF = 10xStep 3.Mathematically combine all y-axis components.F = 10 + 4 + (-4) + (-2)yF = 10 + 4 - 4 - 2yF = 8yStep 4.Express the resultant vector.The resultant components from the previous additions are the coordinates of theresultant, that is, F = (10,8).RExample 2:Determine the resultant, F .RGiven:F = 30 lbf at 0 , 10 lbf at 901o oF = 50 lbf at 0 , 50 lbf at 902o oF = 45 lbf at 180 , 30 lbf at 903o oF = 15 lbf at 0 , 50 lbf at 2704o o

Integrated Publishing, Inc. - A (SDVOSB) Service Disabled Veteran Owned Small Business