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Precalculus

Course: Precalculus > Unit 6

Lesson 9: Vectors word problems
Math
Precalculus
Vectors
Vectors word problems
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Vector word problems

CCSS.Math: HSN.VM.A.3
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Problem

Michael is running some errands.
  • His first stop is 6, start text, space, k, m, end text to the east and 3, start text, space, k, m, end text to the south from his house.
  • His second stop is 2, start text, space, k, m, end text to the west and 1, start text, space, k, m, end text to the south from the first stop.
  • His third stop is 7, start text, space, k, m, end text to the west and 5, start text, space, k, m, end text to the north from the second stop.
What is Michael's direction relative to his starting point once he arrives at his third stop?
Round your answer to the nearest integer. You can round intermediate values to the nearest hundredth.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
degree rotation from the eastward direction
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