Everything You Need in One Place

Homework problems? Exam preparation? Trying to grasp a concept or just brushing up the basics? Our extensive help & practice library have got you covered.

Learn and Practice With Ease

Our proven video lessons ease you through problems quickly, and you get tonnes of friendly practice on questions that trip students up on tests and finals.

Instant and Unlimited Help

Our personalized learning platform enables you to instantly find the exact walkthrough to your specific type of question. Activate unlimited help now!

Get the most by viewing this topic in your current grade. Pick your course now.

  1. Introduction to Unit Vectors
  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
      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:

      where u^=1||\hat{u}||=1