Find the x- and y-components of the vector d⃗ = (9.0 km , 26 ∘ left of +y-axis). Express your answer in kilometers. Enter the x and y components of the vector separated by a comma.

Respuesta :

Answer:

(-8.089 km, 3.945 km)                                

Explanation:

We need to find the x- and y-components of the following vector :

d (9 km, 26 degrees left of +y axis)

We know that the x and y component of any vector is given by :

[tex]d_x=d\ cos\theta[/tex]

[tex]d_y=d\ sin\theta[/tex]

So, x component :

[tex]d_x=-9\times cos(26)=-8.089\ km[/tex]

y component :

[tex]d_y=9\times sin(26)=3.945\ km[/tex]

So, the x and y components of the vector separated by a comma are (-8.089 km, 3.945 km). Hence, this is the required solution.