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Intros
Lessons
  1. Introduction to Unit Vectors
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Examples
Lessons
  1. Find the unit vector of a=\vec{a}= <6,86,-8>, and verify
    1. What is a unit vector which has the same direction as b=3i+4j\vec{b}=3i+4j?
      1. Given v=\vec{v}= <10,310,-3> and w=\vec{w}=<6,8-6,8>,
        1. find v+w\vec{v}+\vec{w}
        2. find the unit vector of the resultant vector
      2. Given v=\vec{v}= <5,6-5,6> and w=\vec{w}=<7,47,4>,
        1. find vw\vec{v}-\vec{w}
        2. find the unit vector of the resultant vector
      Topic Notes
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      In this section, we will learn what is a unit vector, which literally refers to a vector with magnitude of 1 unit. We will practice on calculating a unit vector as well as exploring how this concept relates to the basic unit vectors that are found in vectors represented in rectangular form.
      Unit Vector = a vector with a magnitude of 1
      Given vector v\vec{v}, the unit vector in the direction of vector v\vec{v} is obtained as follows:

      u^=vv\hat{u}=\frac{\vec{v}}{||\vec{v}||}
      where u^=1||\hat{u}||=1