this diagram is for question # 3. question # 1: which method is best for adding

Question

this diagram is for question # 3. question # 1:
which method is best for adding vectors A = (3.00,55.0o) and B = (4.00, 145o ). make a sketch.what is the geomectrical relation between the two vectors?. what isthe sum of these vectors? write you final answer in standard polarform. question # 2: use law of sines and cosines to add A = (25.0,180o) and B = (45.0, 125o). make a sketch andwrite your final answer in standard polar form. repeat problem # 2, but this time use teh component method toadd the vectors. question # 3: find the sum of the vectors shown above. assume that |A| =4.33 and |B|= 3.25 . write your answer in standard polarform.

Explanation / Answer

Let us suppose the polar co-ordinates (x,y) = (r,) Then r = [x2 + y2] And = tan-1(y / x) and x =rcos, y = rsin Now A = (3.00, 55.0o) Then Ax = Acos = (3.00)cos55o =1.721         Ay =Asin= (3.00)sin55o = 2.457 And B = (4.00, 145o ). Then Bx = Bcos145o = (4.00)cos145o= -3.277          By =Bsin145o = (4.00)sin145o = 2.294 Then Rx = Ax + Bx = 1.721 - 3.277= -1.556          Ry =Ay + By = 2.457 + 2.294 = 4.751 Then R = [Rx2 +Ry2] = 5.0 And = tan-1(Ry / Rx)           =108.1o Then R = (5.0, 108.1o)

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