Finding X and Y components of a vector of magnitude

In summary, the conversation discusses the x and y components of vectors with given magnitudes and directions. The formulas for calculating the components are mentioned, and it is suggested to use geometry to determine the components. The concept of 90 degrees being a right angle is also clarified.
  • #1
Sonny18n
60
0
1. A- What are the x and y components of a vector of magnitude 25m/s and direction of 45 degrees?

B- What are the x and y components of a vector of magnitude 75N and a direction of 60 degrees.2. Are these the formulas you use?

Vx=(R)Cos0
Vy=(R)Sin0
3. help please
 
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  • #2
Welcome to PF;
Never mind trying to figure out which formula is for which - instead, use your knowledge of geometry.
Start by drawing out a pair of x and y axes, then sketch the vector on those axes.
If you draw a dotted line at 90deg from the x-axis to the tip of the vector arrow, you will have a triangle where the vector is the hypotenuse.
The components are the other two sides.
 
  • #3
90 degrees? As in a right angle? Can you clarify that
 
  • #4
bump
 
  • #5
90 degrees? As in a right angle? Can you clarify that
That's right - "deg" = "degrees" (it's easier to type than those little circles).
90deg = (pi/2)rad = "perpendicular to" = (yes) the right angle.
It's how you normally read off a coordinate from an axis.

Please be aware - I get an email notification when you reply to a thread I am participating in.
I cannot reply any faster than I already do.
 

1. What is a vector?

A vector is a quantity that has both magnitude (size) and direction. It is represented by an arrow, with the length of the arrow representing the magnitude and the direction of the arrow pointing in the direction of the vector.

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

The magnitude of a vector can be found using the Pythagorean theorem, where the magnitude is equal to the square root of the sum of the squares of the vector's components. For example, if the X component of a vector is 3 and the Y component is 4, the magnitude would be √(3² + 4²) = √25 = 5.

3. What are X and Y components of a vector?

The X and Y components of a vector are the horizontal and vertical parts of the vector, respectively. They represent the amount and direction of movement in each direction.

4. How do you find the X and Y components of a vector?

The X and Y components of a vector can be found using trigonometric functions. The X component can be found by multiplying the magnitude of the vector by the cosine of the angle between the vector and the X-axis. The Y component can be found by multiplying the magnitude of the vector by the sine of the angle between the vector and the Y-axis.

5. Can a vector have negative components?

Yes, a vector can have negative components. This indicates that the vector is pointing in the opposite direction of the positive component. For example, a vector with an X component of -3 and a Y component of 4 would have a magnitude of 5 and would be pointing in the second quadrant, towards the negative X direction and positive Y direction.

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