Find the angle between the given vectors to the nearest tenth of a degree. u = <-5, -4>, v = <-4, -3>
The vectors are in the third quadrant and their angles with respect to the horizontal axis are obtained from tan(angle)=y_value/x_value, so the angle between them is given by:
tan360∘−1((−4)(−5))−tan360∘−1((−3)(−4))=1.789910608246 degrees
or 1.8° to the nearest tenth of a degree.
The vectors are in the third quadrant and their angles with respect to the horizontal axis are obtained from tan(angle)=y_value/x_value, so the angle between them is given by:
tan360∘−1((−4)(−5))−tan360∘−1((−3)(−4))=1.789910608246 degrees
or 1.8° to the nearest tenth of a degree.