Are carbon and Carbon fiber the same thing? please explain.

The main difference between graphite and carbon fiber is the fact that graphite breaks apart easily while carbon fiber is strong. This difference explains why graphite works well in a pencil and carbon fiber works well in sports equipment, airplanes and the space shuttle.

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