Magnitude of a vector

0/8
Examples
Lessons
  1. Find the magnitude of the following vectors:
    Magnitude of a vector
    1. p⃗\vec{p}
    2. q⃗\vec{q}
  2. Find the magnitude of the following vectors:
    Vector magnitude
    1. r⃗\vec{r}
    2. s⃗\vec{s}
  3. Find the magnitude of the following vectors:
    1. m⃗= \vec{m}= < 3,−13,-1>

    2. Magnitude of a vector

    3. Magnitude of a vector
  4. Given that the vector v⃗\vec{v} has its initial point at (2,1) and its terminal point at (6,-4), find the magnitude of the vector v⃗\vec{v}
    Free to Join!
    StudyPug is a learning help platform covering math and science from grade 4 all the way to second year university. Our video tutorials, unlimited practice problems, and step-by-step explanations provide you or your child with all the help you need to master concepts. On top of that, it's fun - with achievements, customizable avatars, and awards to keep you motivated.

    • Easily See Your Progress

      We track the progress you've made on a topic so you know what you've done. From the course view you can easily see what topics have what and the progress you've made on them. Fill the rings to completely master that section or mouse over the icon to see more details.

    • Make Use of Our Learning Aids

      Last Viewed
      Practice Accuracy
      Suggested Tasks

      Get quick access to the topic you're currently learning.

      See how well your practice sessions are going over time.

      Stay on track with our daily recommendations.

    • Earn Achievements as You Learn

      Make the most of your time as you use StudyPug to help you achieve your goals. Earn fun little badges the more you watch, practice, and use our service.

    • Create and Customize Your Avatar

      Play with our fun little avatar builder to create and customize your own avatar on StudyPug. Choose your face, eye colour, hair colour and style, and background. Unlock more options the more you use StudyPug.
    Topic Notes
    Finding the magnitude of a vector is very much the same as determining the length of the hypotenuse of a right triangle – we almost use the exact Pythagorean formula! In this section, we will learn how the horizontal component and the vertical component enable us to algebraically calculate the magnitude of a vector.
    Magnitude of a vector
    ∣∣v⃗∣∣=vx2+vy2|| \vec{v}||=\sqrt{v^2_x+v^2_y}
    Basic Concepts
    Related Concepts