Answer:
32 km east
Explanation:
In order to find the final position of the balloon, we need to calculate its total displacement.
We have:
- Displacement towards west: 18 km
- Displacement towards east: 50 km
The two vectors are on the same line: this means that we can simply add them together (taking into account the proper direction) to obtain the total displacement.
Taking east as positive direction and west as negative direction, we have:

And since it is positive, it means that the final position of the balloon is 32 km east from its initial position.
Remember opposites attract and same charges repel each other.
Object A= negatively charged.
Object A and B attract so B must be positively charged.
Object B and C repel so because B is positively charged C must also be positively charged.
Object C and D attract and because C is positively charged, D must be negatively charged.
The correct option is C) The angle between the vectors is 120°.
Why?
We can solve the problem and find the correct option using the Law of Cosine.
Let A and B, the given two sides and R the resultant (sum),
Then,

So, using the law of cosines, we have:

Hence, we have that the angle between the vectors is 120°. The correct option is C) The angle between the vectors is 120°
Have a nice day!