Question

Vector → A has a magnitude of 13.9 and its direction is 80∘ counter‑clockwise from the +x- axis. What are the x- and y- components of the vector?Ax= Number Ay=Number

Answer 1

The x- and y- components of the vector is 2.41 and 13.68 respectively.

Step-by-step explanation:

Given that,

The magnitude of vector A is 13.9 and its direction is 80∘ counter‑clockwise from the +x- axis.

The x component of a vector is given by :

`A_x=A\ cos\theta`

`A_x=13.9* cos(80)`

`A_x=2.41`

The y component of a vector is given by :

`A_y=A\ sin\theta`

`A_y=13.9* \ sin(80)`

`A_y=13.68`

So, the x- and y- components of the vector is 2.41 and 13.68 respectively.