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Vector word problems

Two ducklings wander away from the nest while their mother is away. The first duckling's displacement (distance and direction) from the nest is d1⃗=(12,5)\blue{\vec{d_1}} = (12,5). The second duckling's displacement is d2⃗=(13,−8)\purple{\vec{d_2}} = (13,-8).
(Values above are given in meters.)
How much farther did the second duckling wander than the first duckling?
  • 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}
meters
(Round your final answer to the nearest tenth.)
How far are the ducklings apart?
  • 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}
meters
(Round your final answer to the nearest tenth.)