MATLAB Programming 41 - Some vector operations (7)

Magnitude of a Vector

Magnitude of a vector v with elements v1, v2, v3, …, vn, is given by the equation:

|v| = √(v12 + v22 + v32 + … + vn2)

You need to take the following steps to calculate the magnitude of a vector:

Take the product of the vector with itself, using array multiplication (.*). This produces a vector sv, whose elements are squares of the elements of vector v.

sv = v.*v;

Use the sum function to get the sum of squares of elements of vector v. This is also called the dot product of vector v.

dp= sum(sv);

Use the sqrt function to get the square root of the sum which is also the magnitude of the vector v.

mag = sqrt(s);