Matrix multiplication of different sizes

Hello

I can't store equations like these x1,...,xn equations here: https://en.wikipedia.org/wiki/N-sphere#Spherical_coordinates

The problem is that phi(n-1) is from 0 to 2pi while the rest of phi is from 0 to pi, so if I do something like this:(n=3)

phi1=0:0.1:pi;
phi2=0:0.1:2*pi;

then multiply them, it will throw an error about different sizes. Should I just modify phi1 to

phi1=0:0.05:pi

so they have the same size? I'm not sure how that affects the equations.

[Guillaume]

You haven't explained what you're trying to do.

Whatever angle, or range of angles you use doesn't have any effect on the equations. the equations are true regardless of the inputs. Of course, the angles you put in do affect the result.

[Richárd Tóth]

I use them in a semi infinite optimization problem, semi infinite because the phis can have infinite values(they are in constraints) , so I create finite vectors of them, they are the sample sets

Answer 1

[Walter Roberson]

N = 50;
phi1 = linspace(0, pi, N);
phi2 = linspace(0, 2*pi, N);