Addition of Vectors

1. Vectors A and B are two perpendicular vectors that meet to form the resultant vector R. If vector A has a magnitude 3806 and vector B has a magnitude of 3264, what is the magnitude of the resultant vector R and what is the value of the positive angle R makes with A?

  Magnitude = 5014 A = 40.61^o

  Magnitude = 5013.9 A = 40.6^o

  Magnitude = 5014 A = 0.7089

2. Vectors A and B are perpedicular vectors.   The magnitude of vector A is 5801 and the magnitude of vector B is 3846.  What is the measurement of the angle formed by the resultant R and vector B?

  6959

  33.5^o

  56.46^o

3. In order to avoid bad weather in the upper midwest, a pilot flies due south for 401.0 km and then flies due west for 2163 km.  What is the displacement from the starting point?

   79.497^o west of south   2200 miles from point of origin

  259.5^o west of south   2200 miles from point of origin

  79.5^o west of south   2200 miles from point of origin