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

Answer:

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

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 :

$A_x=A\ cos\theta$

$A_x=13.9\times cos(80)$

$A_x=2.41$

The y component of a vector is given by :

$A_y=A\ sin\theta$

$A_y=13.9\times \ sin(80)$

$A_y=13.68$

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