Unit Vector - Vectors

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Vectors Topics:

Unit Vector

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.

Lessons

Notes:
Unit Vector = a vector with a magnitude of 1
Given vector v⃗\vec{v}, the unit vector in the direction of vector v⃗\vec{v} is obtained as follows:

u^=v⃗∣∣v⃗∣∣\hat{u}=\frac{\vec{v}}{||\vec{v}||}
where ∣∣u^∣∣=1||\hat{u}||=1
    • a)
      find v⃗+w⃗\vec{v}+\vec{w}
    • b)
      find the unit vector of the resultant vector
    • a)
      find v⃗−w⃗\vec{v}-\vec{w}
    • b)
      find the unit vector of the resultant vector
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Unit Vector

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