Which of the following best describes why longitudinal waves cannot travel in space?

A longitudinal wave travels by displacement of material objects.

Air (for instance) particles transmit waves by their oscillation

Space has no material particles to transmit these waves.

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