Operations on vectors in magnitude and direction form

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Examples
Lessons
  1. Given the following vectors for p\vec{p}, q\vec{q}, t\vec{t}
    Operations on vectors in magnitude and direction form
    find p+q\vec{p}+\vec{q}
    1. Given the following vectors for p\vec{p}, q\vec{q}, t\vec{t}
      Operations on vectors in magnitude and direction form
      find t+p\vec{t}+\vec{p}
      1. Given the following vectors for p\vec{p}, q\vec{q}, t\vec{t}
        Operations on vectors in magnitude and direction form
        find p+q+t\vec{p}+\vec{q}+\vec{t}
        1. Particle β\beta is acted upon by the following forces:

          • Force A with a magnitude of 30N towards north west
          • Force B with a magnitude of 20N towards East
          • Force C with a magnitude of 15N in the direction of 25° south of west
          1. find the magnitude of the resultant force
          2. find the direction of the resultant force
        Topic Notes
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        By now we should be able to add or subtract vectors if we are given their components, but what if we are only given their magnitudes and direction angles instead? In this section, we will learn how to perform operations on vectors presented in magnitude and direction form, using the "three-steps approach".