No. Loudness is a scalar quantity. It lacks a vector or direction. Be sure not to confuse this by applying personal experience. Follow along. You are stationary. You hear a sound. You don't move when you hear it. It has some "apparent loudness" as you experienced it. It stops. You turn your head in the direction you think it came from and hold your head still. The sound starts again at the same level it was. It sounds louder to you because you are now facing the source. But it isn't actually louder. You hear better because you are facing the source. This does not mean the loudness has a vector associated with it. It does not.
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Loudness has to do with psycho acoustics and is neither sound pressure nor acoustic intensity.
The unit of loudness N is "the sone" and the unit of loudness level (volume) LN is "the phon". Scroll down to related links and look at "Conversion of sone to phon".
NULL VECTOR::::null vector is avector of zero magnitude and arbitrary direction the sum of a vector and its negative vector is a null vector...
It is a vector whose magnitude is 1.It is a vector whose magnitude is 1.It is a vector whose magnitude is 1.It is a vector whose magnitude is 1.
prrpendicular projections of a vector called component of vector
the opposite to vector addition is vector subtraction.