3,6
although it would be something different if point F doesn’t start at the point if origin which would be (0,0)
One could use the relation
![\mathbf a\cdot\mathbf b=\|\mathbf a\|\|\mathbf b\|\cos\theta](https://tex.z-dn.net/?f=%5Cmathbf%20a%5Ccdot%5Cmathbf%20b%3D%5C%7C%5Cmathbf%20a%5C%7C%5C%7C%5Cmathbf%20b%5C%7C%5Ccos%5Ctheta)
where
![\mathbf a,\mathbf b](https://tex.z-dn.net/?f=%5Cmathbf%20a%2C%5Cmathbf%20b)
are two vectors,
![\|\mathbf a\|](https://tex.z-dn.net/?f=%5C%7C%5Cmathbf%20a%5C%7C)
denotes the norm of that vector, and
![\theta](https://tex.z-dn.net/?f=%5Ctheta)
is the angle between the two vectors.
Then the two vectors will be parallel if
![\theta=0](https://tex.z-dn.net/?f=%5Ctheta%3D0)
or
![\pi](https://tex.z-dn.net/?f=%5Cpi)
.
9 * 5 = 45
5 * 9 = 45
15 * 3 = 45
3 * 15 = 45
*Hope that helps and enjoy Brainly :)*
Answer: ![x=\frac{50 mi}{3 in} 5 in](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B50%20mi%7D%7B3%20in%7D%205%20in)
Step-by-step explanation:
We are told 3 inches represents 50 miles in a map:
![3 in=50 mi](https://tex.z-dn.net/?f=3%20in%3D50%20mi)
And we need to find how many miles are represented by 5 inches. So, we can write the following relation and find the unknown value
:
![\frac{50 mi}{3 in}=\frac{x mi}{5 in}](https://tex.z-dn.net/?f=%5Cfrac%7B50%20mi%7D%7B3%20in%7D%3D%5Cfrac%7Bx%20mi%7D%7B5%20in%7D)
![x=\frac{50 mi}{3 in} 5 in](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B50%20mi%7D%7B3%20in%7D%205%20in)
Finally:
![x=83.33 mi](https://tex.z-dn.net/?f=x%3D83.33%20mi)