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Add vectors: magnitude & direction

v\vec v and w\vec w are shown below.
Find the magnitude and direction angle (θ)(\theta) of v+w\vec v + \vec w.
Round to the nearest hundredth. Angle should be between 0\textit0\,^\circ and 360\textit{360}\,^\circ.
v+w||\vec v + \vec w|| \approx
  • Your answer should be
  • an integer, like 66
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
  • an exact decimal, like 0.750.75
  • a multiple of pi, like 12 pi12\ \text{pi} or 2/3 pi2/3\ \text{pi}
θ\theta \approx
  • Your answer should be
  • an integer, like 66
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
  • an exact decimal, like 0.750.75
  • a multiple of pi, like 12 pi12\ \text{pi} or 2/3 pi2/3\ \text{pi}
^\circ