In terms of vectors, magnitude is the length of a line joining the origin to an ordered pair on the coordinate plane. Its symbol is a number with a double line in front and in back.... ||V||
This is nothing new but you may not recognize the vector definition as the hypotenuse of a right triangle, calculated with the Pythagorean Theorem.
Let’s look at Vector G, (5, 12). Find the point on a graph and draw a line from (0,0) to the point.
point to the x axis and
from there to the origin
creating a right triangle.
Label these lines.
Using the Pythagorean Theorem, the Hypotenuse is 13.
Since the equation for MAGNITUDE is
V (5, 12) = ||13||.
When you need to use Magnitude in a vector situation like finding the Norm, direction, unit vector, or scalar components, think PYTHAGOREAN THEOREM and HYPOTENUSE.