Question

What is the direction of v round to the nearest hundredth

Answer 1

The direction of a vector given its coordinates (x, y) is :

`\theta=\arctan ((y)/(x))`

If the vector is in Q1, θ

If in Q2, 180 - θ

If in Q3, 180 + θ

If in Q4, 360 - θ

From the problem, the coordinates of the vector is (-3, -10).

Solving for θ,

`\begin{gathered} \theta=\arctan ((-10)/(-3)) \\ \theta=73.30 \end{gathered}`

Since the vector is in Q3, the direction will be :

`180+73.30=253.30`

ANSWER :

253.30 degrees