How to divide a vector by a constant?

c=3*10^8

c = 300000000

speeds=(.1*c:.9*c/8:.9*c)

speeds = 1×8

30000000 63750000 97500000 131250000 165000000 198750000 232500000 266250000

y=1/sqrt(1-(speeds.^2./c^2))

Error using /
Matrix dimensions must agree.

What is my error?

Answer 1

[Image Analyst]

The denominator with sqrt() is a vector so you need a dot before the slash

y = 1 ./ sqrt(1 - (speeds .^ 2 ./ c ^ 2))

[Lance Shallenberger]

thanks!

Answer 2

[Cris LaPierre]

You need to use elementwise division everywhere in your equation for y

c=3*10^8;
speeds=(.1*c:.9*c/8:.9*c);
%  v
y=1./sqrt(1-(speeds.^2./c^2))

y = 1×8

1.0050 1.0234 1.0574 1.1121 1.1974 1.3350 1.5824 2.1701

[Lance Shallenberger]

thank you!