In these lessons, we will learn how to find the magnitude of 2-dimensional vectors and 3-dimensional vectors.
Related Topics: More Lessons on Vectors
The length of a vector is called the magnitude
or modulus of the vector.
Express each of the following vectors as a column vector and find its magnitude.
Vectors in 2D
Adding vectors geometrically, scalar multiplication, how to find the magnitude and direction angle of a vector.
A vector with initial point at the origin and terminal point at (a, b) is written <a, b>.
Geometrically, a vector is a directed line segment, while algebraically it is an ordered pair.
Vectors : magnitude of a vector in 2D.
Vectors in 3D
A vector can also be 3-dimensional.
The following video gives the formula, and some examples of finding the magnitude, or length, of a 3-dimensional vector.
Vectors : Magnitude of a vector 3D.
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