Magnitude of a vector

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Examples

Lessons

  1. Find the magnitude of the following vectors:
    Magnitude of a vector
    1. p\vec{p}
    2. q\vec{q}
  2. Find the magnitude of the following vectors:
    Vector magnitude
    1. r\vec{r}
    2. s\vec{s}
  3. Find the magnitude of the following vectors:
    1. m= \vec{m}= < 3,13,-1>

    2. Magnitude of a vector

    3. Magnitude of a vector
  4. Given that the vector v\vec{v} has its initial point at (2,1) and its terminal point at (6,-4), find the magnitude of the vector v\vec{v}

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    Topic Basics
    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
    v=vx2+vy2|| \vec{v}||=\sqrt{v^2_x+v^2_y}