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Algebra (all content)

Course: Algebra (all content) > Unit 19

Lesson 9: Adding vectors in magnitude & direction form
Math
Algebra (all content)
Vectors
Adding vectors in magnitude & direction form
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Add vectors: magnitude & direction

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Problem

Here are vectors v, with, vector, on top and w, with, vector, on top.
Vector v has magnitude 5 and direction angle 70 degrees. Vector w has magnitude 6 and direction angle 160 degrees.
Find the magnitude and direction angle (theta) of v, with, vector, on top, plus, w, with, vector, on top.
Round your final answer to the nearest tenth. It's okay to round your intermediate calculations to the nearest hundredth.
vertical bar, vertical bar, v, with, vector, on top, plus, w, with, vector, on top, vertical bar, vertical bar, approximately equals
  • 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
theta, approximately equals
  • 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
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