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Add vectors: magnitude & direction to component

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Problem

The magnitude of v is 7, and its direction angle is 30.
The magnitude of w is 4, and its direction angle is 140.
Find the component form of v+w.
It's okay to round your intermediate calculations and final answer to the nearest hundredth.
v+w( 
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
 ,
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
) 
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