Answer:
a
the displacement of the plane is ![- \= w](https://tex.z-dn.net/?f=-%20%5C%3D%20w)
b
The displacement of plane from Portland to Akron with layover at Houston is
c
the vector which defines this displacement is ![\= v + \= w =- 2500 \ km](https://tex.z-dn.net/?f=%5C%3D%20v%20%2B%20%5C%3D%20w%20%20%3D-%202500%20%5C%20km)
Step-by-step explanation:
From the question we are the
The displacement from Portland, Oregon to Houston, Texas. is ![\= v](https://tex.z-dn.net/?f=%5C%3D%20v)
The displacement from Houston, Texas to Akron, Ohio. is
a
a
The motion of the plane in question a is in the opposite direction to vector ![\= w](https://tex.z-dn.net/?f=%5C%3D%20w)
So the displacement of the plane is ![- \= w](https://tex.z-dn.net/?f=-%20%5C%3D%20w)
b
The motion of Portland to Houston to Akron is in the direction of both vector
and
so
The displacement of plane from Portland to Akron with layover at Houston is
c
From the question we are told that the plane flies over Portland to get to Anchorage, Alaska which implies that it is moving in opposite direction to the vector ![\= v](https://tex.z-dn.net/?f=%5C%3D%20v)
Give that distance from Portland to Houston is ![\= v = 3000 km](https://tex.z-dn.net/?f=%5C%3D%20v%20%20%3D%203000%20km)
and the distance from Portland to Anchorage is
km
Then the vector which defines this displacement is mathematically represented as
![\= v + \= w = 3000 -5500](https://tex.z-dn.net/?f=%5C%3D%20v%20%2B%20%5C%3D%20w%20%20%3D%203000%20%20-5500)
![\= v + \= w =- 2500 \ km](https://tex.z-dn.net/?f=%5C%3D%20v%20%2B%20%5C%3D%20w%20%20%3D-%202500%20%5C%20km)