Everything we know about stars comes from studying their mass color temperature radiation/light age

Everything we know about stars comes from studying their radiation/light. By measuring the wavelength or frequency of light coming from objects in the universe, we can learn something about their nature.  Starts emit a range of wavelengths. The frequency of light is directly related to its color, so it follows that stars have different colors because they have different peak wavelengths of light.

answer and explanation;

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west