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.
Use the sqrt function to get the square root of the sum which is also the magnitude of the vector v.
mag = sqrt(s);
Create a script file with the following code −
v = [1: 2: 20]; sv = v.* v; %the vector with elements % as square of v's elements dp = sum(sv); % sum of squares -- the dot product mag = sqrt(dp); % magnitude disp('Magnitude:'); disp(mag);
When you run the file, it displays the following result −