During constructive interference, two waves moving through the same medium willanswer
not occupy the same space
amplify each other
move around each other
cancel each other out

The correct option is "amplifying each other".

Explanation:

Interference is the phenomenon in which there is superposition of the waves travelling in the same medium.

The interference can be constructive and destructive.

Constructive interference: In this interference, the resulting wave is of maximum amplitude.

Destructive interference: In this interference, the resulting wave is of minimum amplitude.

Therefore, during constructive interference, two waves moving through the same medium will amplify each other.

magnityde and direction

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