How Is the X-Component of a Vector Determined Using Sine?

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In summary, the x-component of a vector is given by its magnitude multiplied by the sine of its direction angle when the angle is with respect to the vertical axis. If the component of vector A along the direction of vector B is zero, it means that the two vectors are perpendicular to each other. In terms of average velocity and displacement, if the average velocity of an object is zero in a certain time interval, then the displacement of the object during that interval is also zero. For two vectors to have no common component, they must be perpendicular to each other. The definition of velocity is the rate of change of an object's position with respect to time, and average velocity is the average speed of an object over a specific time interval.
  • #1
stunning
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pleasezzzzzzzz help me ...

in what circumstances is the x-component of a vector given by magnitude of a vector times the sine of its direction angle?
 
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  • #2
When the angle given is with respect to the vertical (y-axis).
 
  • #3
oh thank u so much...
 
  • #4
can ny 1 help me with these questions?
If the component of vector A along the direction of vector B is zero, what can u about the two vectors?
 
  • #5
Q:2
If the average velocity of an abject is zero in some time interval, what can u say about the displacement of the object for that interval?
 
  • #6
stunning said:
can ny 1 help me with these questions?
If the component of vector A along the direction of vector B is zero, what can u about the two vectors?

stunning said:
Q:2
If the average velocity of an abject is zero in some time interval, what can u say about the displacement of the object for that interval?
Well, what do you think?
 
  • #7
i hv no idea
 
  • #8
what do you mean by component of vector A along the direction of vector B?
 
  • #9
stunning said:
i hv no idea
of course you must have some clue or idea.

can you draw two vectors that have no common component? What can you say about them? hint: look at angles.

Q2: What is the definition of velocity (speed and velocity is not the same), and average velocity?
 

1. What is the X-component of a vector?

The X-component of a vector is the part of the vector that lies on the horizontal axis. It can be represented by a number and a direction, and is usually denoted as Vx.

2. How do you calculate the X-component of a vector?

To calculate the X-component of a vector, you can use the trigonometric functions sine and cosine. If the magnitude of the vector and the angle it makes with the horizontal axis are known, you can use the formula Vx = V cos(θ).

3. What is the significance of the X-component of a vector?

The X-component of a vector is important because it helps us understand the direction and magnitude of a vector in a specific direction. It also allows us to break down a vector into its individual components for easier analysis and calculations.

4. Can the X-component of a vector be negative?

Yes, the X-component of a vector can be negative. This indicates that the vector is pointing in the opposite direction of the positive X-axis. It is important to pay attention to the sign of the X-component when working with vectors to accurately represent its direction.

5. How does the X-component of a vector relate to other components?

The X-component of a vector is just one of the components that make up a vector. The other components include the Y-component, which lies on the vertical axis, and the Z-component, which lies on the depth axis. Together, these components form the magnitude and direction of the vector in three-dimensional space.

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