Question

Please be quick im just trying to confirm my answer

Answer 1

Given:

Given the magnitude of a vector is 2 and direction of a vector is 150 degrees.

Required: Component form of the vector

Explanation:

The components of the vector can be defined as

`\begin{gathered} v_x=|v|\cos\theta \\ v_y=|v|\sin\theta \end{gathered}`

Substitute the given values.

`\begin{gathered} v_x=2\cos150\degree \\ =-(√(3))/(2) \\ v_y=2\sin150\degree \\ =1 \end{gathered}`

The given vector can be written in component form as

`v=(-(√(3))/(2),1)`

Final Answer: The component form of the given vector is

`v=(-(√(3))/(2),1)`