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Common Core Standard HSN-VM.A.3 Questions

(+) Solve problems involving velocity and other quantities that can be represented by vectors.

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Grade 11 Vectors CCSS: HSN-VM.A.3, HSN-VM.B.4, HSN-VM.B.4b
Two boats are pulling a very large, derelict boat behind them. One boat is exerting a force of 1.1×106 N on the derelict boat in the direction S10°W. The second boat is pulling with a force of 1.3×106 N in the direction S5°E. What is the resulting force acting on the derelict boat and in what direction? Round answers to the nearest whole unit.
  1. The resulting force is 1.4×106 N, in the direction S7°E.
  2. The resulting force is 2.4×106 N, in the direction S2°W.
  3. The resulting force is 3.7×105 N, in the direction S8°W.
  4. The resulting force is 1.6×106 N, in the direction S2°E.

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