Vectors - Components / A question about the angle?

In summary, E22.3 N and ( 22.3 east of north ) are not the same. E22.3 N means 22.3 degrees north of east, while ( 22.3 east of north ) means 22.3 degrees east of north. To solve the problem, use the sine function.
  • #1
Physics697
5
0
Is E22.3 N the same as ( 22.3 east of north ) ?

Is it

This angle
| /
| /
| /
| /
-----------------x

or this one
|
|
|
|
|_____------- this angle
-----------------

the question is " A wind with a velocity of 40.3 KM/H blows [E22.3 N]. What is the north component of the velocity in Km/h?

I know how to solve it but wondering which graph I am supposed to use to determine my answer. Is it 40.3sin22.3 or 40.3sin22.3

Thanks in advance
 
Last edited:
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  • #2
Is E22.3 N the same as ( 22.3 east of north ) ?
No. It means 22.3 degrees north of east. Picture your boat heading east (the initial direction mentioned), then turning 22.3 degrees toward north. So use the sine.
 
  • #3
Thank you very much ^^
 

1. What are vector components?

Vector components are the individual parts of a vector that represent its magnitude and direction. They are typically represented as horizontal and vertical lines, with the horizontal component representing the vector's x-direction and the vertical component representing the vector's y-direction.

2. How do you find the components of a vector?

The components of a vector can be found using trigonometric functions. The horizontal component (x) can be found by multiplying the vector's magnitude by the cosine of the angle between the vector and the x-axis. The vertical component (y) can be found by multiplying the vector's magnitude by the sine of the angle between the vector and the y-axis.

3. Why is the angle between a vector and its components important?

The angle between a vector and its components is important because it determines the direction of the vector. By breaking down a vector into its components, we can better understand its overall direction and how it is affected by external forces.

4. Is it possible for a vector to have negative components?

Yes, a vector can have negative components. This means that the vector is pointing in the opposite direction of the positive components. For example, a vector with a negative x-component would point to the left, while a vector with a negative y-component would point downwards.

5. How do you use the angle between a vector and its components to find the vector's magnitude?

The magnitude of a vector can be found using the Pythagorean theorem, which states that the square of the hypotenuse (the vector's magnitude) is equal to the sum of the squares of the other two sides (the vector's components). In other words, the magnitude of a vector can be found by taking the square root of the sum of the squares of its components.

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