Question

How can you use trigonometric ratios to calculate the direction α of a general vector = , similar to the diagram?

Answer 1

first you should represent the vector in standard position (tail at the origin). then for \(\vec{v}=\left<x,y\right>\), we have \(\tan(\alpha)=\Large\frac{y}{x}\)

Answer 2

you need to be aware of which quadrant your vector terminates in so you can adjust \(\alpha\) accordingly

Answer 3

the picture that i have for the question is not a quadrant it is just a line

Answer 4

i know...