Magnitude of a vector

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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}
    Topic Notes
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    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
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    Related Concepts
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