At the equator, the earth spins a distance of
25,922 miles every day; What speed does the
Earth spin at in mph ?

About 1080 miles per hour

Explanation:

If the earth spins 25,922 miles everyday (24 hours) then is would spin about 1080 miles per hour.

25 922 miles / 24

24 divided by 24 to get 1 ( 1 hour)

*if we divided 24 by 24 then we do the same to 25 922 (to make it equivalent)

25 922 divided by 24 = 1080.083333333333.

So, 1080 mph or 1080 miles / 1 hour

I hope this helped :)

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west