Let ε1 and ε2 be the angles made by and -
with the positive X-axis. Show that
Thus, giving tan ε does not uniquely determine the direction of
We can infer that vectors and -
are in opposite direction and the angle between them is 180° . Then we express ε2 = 180° + ε1. ∴ we have
. Hence
does not uniquely determine the direction of
as it gives directions for both
and -
.