# What is the magnitude and direction of the resulting force?

I missed a week of school due to sickness and today was my first day back. While I was gone, the topic my class learned is called "vectors". My teacher gave me an assignment with 25 problems about it that I'm supposed to finish by tomorrow plus I'll be having a test on it in two days but, despite reading everything about it in the book and trying my best, I'm not sure if I understood it.

Of course, I'm not going to ask to help me solve all 25 homework problems but if you could help me with, say, three of those as an example [preferably with explanation included], I would really appreciate it.

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## Homework Statement

A plane travels a distance of 200 km on a line 50 degrees North of East. How far north and how far east does the plane travel?

## Homework Equations

Have to draw a diagram using the distance and the magnitude?

## The Attempt at a Solution

N/A [no idea how to do it]

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## Homework Statement

A 5 lb. force and a 50 lb. force act on the same point. The 5 lb. force acts due North, while the 10 lb. force acts due East. What is the magnitude and direction of the resulting force?

## Homework Equations

Adding the vectors head to tail and then drawing in the resulting force vector.

## The Attempt at a Solution

N/A [no idea how to do it]

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## Homework Statement

A rowboat heads directly west across a river 41 m wide at 1.9 m/s. The current is flowing south at 1.1 m/s, and thus the boat is carried downstream. (a) What is the resultant velocity of the rowboat? (b) How much time does it take the boat to cross the river? (c) How far downstream is the boat when it reaches the other side?

N/A.

## The Attempt at a Solution

N/A [no idea how to do it]

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