Magnitude of a vector

Magnitude of a vector

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.

Lessons

Magnitude of a vector
v=vx2+vy2|| \vec{v}||=\sqrt{v^2_x+v^2_y}
  • 1.
    Find the magnitude of the following vectors:
    Magnitude of a vector
    a)
    p\vec{p}

    b)
    q\vec{q}


  • 2.
    Find the magnitude of the following vectors:
    Vector magnitude
    a)
    r\vec{r}

    b)
    s\vec{s}


  • 3.
    Find the magnitude of the following vectors:
    a)
    m= \vec{m}= < 3,13,-1>

    b)

    Magnitude of a vector

    c)

    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}