# Adding vector components in two dimensions

## Homework Statement

A plane flies 600km/h south. The plane encounters a southwestern wind of 100km/h.

## Homework Equations

What is the velocity (magnitude and direction) of the plane

## The Attempt at a Solution

What I did was break the 100km southwestern vector into its components. 100*cos45 = 70.71 (45 because southwestern wind is 45deg?). This will be both north and east component since it is 45 45 90 triangle that is being used.

Then I subtract 70.71 north component from 600 original vector = 529.29
Using the new 529.29 south component, and the remaining east pointing 70.71 component, I use phythagoras to find the resulting velocity vector.
I get 534. Answer is 543.

As for the heading, I get 7.61deg, which is inline with the answer.

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haruspex
Homework Helper
Gold Member

## Homework Statement

A plane flies 600km/h south. The plane encounters a southwestern wind of 100km/h.

## Homework Equations

What is the velocity (magnitude and direction) of the plane

## The Attempt at a Solution

What I did was break the 100km southwestern vector into its components. 100*cos45 = 70.71 (45 because southwestern wind is 45deg?). This will be both north and east component since it is 45 45 90 triangle that is being used.

Then I subtract 70.71 north component from 600 original vector = 529.29
Using the new 529.29 south component, and the remaining east pointing 70.71 component, I use phythagoras to find the resulting velocity vector.
I get 534. Answer is 543.

As for the heading, I get 7.61deg, which is inline with the answer.

haruspex
Homework Helper
Gold Member
I googled "plane flies in south direction..etc" for similar questions though, and I find on two websites that I still cant get matching answers.
ex: http://www.jiskha.com/display.cgi?id=1254021349
Not sure what you are saying. Do you mean that you submitted an answer to the question there and were told your answer is wrong?

No no just that i tried googling that particular question assuming its a "stock question" and people have asked it in the past. I still don't get the same answer as people that have tried to help others on other websites.

haruspex