Gas density can be calculated by dividing the mass of gas by its volume. if you took a balloon of gas and then warmed the balloon in a sunny window, what can now be said about the density of the gas in the balloon?

Density of the gas decreases.

Explanation:

The relationship between the volume and temperature of a gas was described by Jack Charles, and it says that in a sample of gas at constant pressure it is observed that when the temperature is increased the volume of the gas also increases and that when the temperature decreases The volume also decreases.

Then, if you warm the balloon in a sunny window temperature will increase, therefore volume will increase.

According to density definition, if volume increase, density decreases.

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