We have a vector with initial point (-4,-1) and terminal point (10,-7).
We have to find its direction angle α. This can be related to the points as:
Then, we use the trigonometric ratio:
[tex]\tan (\alpha)=\frac{\text{Opposite}}{\text{Adyacent}}=\frac{-6}{14}=-\frac{3}{7}[/tex]
And the angle is:
[tex]\alpha=\arctan (-\frac{3}{7})\approx-23.19\degree[/tex]
Answer: 23.19° (the dire
