The tail of a vector is fixed to the origin of an x, y axis system. Originally the vector points along the +x axis. As time passes, the vector rotates counterclockwise. Describe how the sizes of the x and y components of the vector compare to the size of the original vector for the following rotational angles. (Select all that apply.)

(a) 90°
x has zero magnitude
y has zero magnitude
magnitude of x components is equal to magnitude of the original vector
magnitude of y components is equal to magnitude of the original vector

(b) 180°
x has zero magnitude
y has zero magnitude
magnitude of x components is equal to magnitude of the original vector
magnitude of y components is equal to magnitude of the original vector

(c) 270°
x has zero magnitude
y has zero magnitude
magnitude of x components is equal to magnitude of the original vector
magnitude of y components is equal to magnitude of the original vector

(d) 360°
x has zero magnitude
y has zero magnitude
magnitude of x components is equal to magnitude of the original vector
magnitude

Why are you posting under differing names? Please stop that, I have asked this of you before. You are posting homework here, no thinking, just looking for answers. Now you are again trying to post under differing names. That to me is an attempt at deception. Most quality colleges call that cheating. I have reached my limit, and I am a patient professor. Please post work, under one name, with your thinking.

With all dur respect. I think you speculating. I am not here to argue or prove my identity. Actually this is the first time I am using this site so i really don't know who you spoke to earlier.
Would you help me please?

Oh sorry, i am using the same computer with my roommate, in the same class as me so we probably have the same IP, but i am not the same person.

I apologize for the confusion. I am here to help you with your question.

Let's analyze each statement and determine whether it is true or not:

(a) 90°
- x has zero magnitude: True. At 90°, the vector no longer points in the x-direction, so the x-component has zero magnitude.
- y has zero magnitude: False. At 90°, the vector points entirely in the y-direction, so the y-component will have non-zero magnitude.
- The magnitude of the x-component is equal to the magnitude of the original vector: False. The x-component has zero magnitude at 90°, which is not equal to the original vector's magnitude.
- The magnitude of the y-component is equal to the magnitude of the original vector: True. At 90°, the entire magnitude of the original vector is in the y-component.

(b) 180°
- x has zero magnitude: True. At 180°, the vector points in the opposite direction of the x-axis, so the x-component has zero magnitude.
- y has zero magnitude: False. At 180°, the vector points entirely in the negative y-direction, so the y-component will have non-zero magnitude.
- The magnitude of the x-component is equal to the magnitude of the original vector: False. The x-component has zero magnitude at 180°, which is not equal to the original vector's magnitude.
- The magnitude of the y-component is equal to the magnitude of the original vector: True. At 180°, the entire magnitude of the original vector is in the y-component.

(c) 270°
- x has zero magnitude: True. At 270°, the vector no longer points in the x-direction, so the x-component has zero magnitude.
- y has zero magnitude: False. At 270°, the vector points entirely in the negative y-direction, so the y-component will have non-zero magnitude.
- The magnitude of the x-component is equal to the magnitude of the original vector: False. The x-component has zero magnitude at 270°, which is not equal to the original vector's magnitude.
- The magnitude of the y-component is equal to the magnitude of the original vector: True. At 270°, the entire magnitude of the original vector is in the y-component.

(d) 360°
- x has zero magnitude: False. At 360°, the vector points in the same direction as the original vector, so the x-component will have non-zero magnitude.
- y has zero magnitude: False. At 360°, the vector points in the same direction as the original vector, so the y-component will have non-zero magnitude.
- The magnitude of the x-component is equal to the magnitude of the original vector: False. The x-component will have non-zero magnitude at 360°, which is not equal to the original vector's magnitude.
- The magnitude of the y-component is equal to the magnitude of the original vector: False. The y-component will have non-zero magnitude at 360°, which is not equal to the original vector's magnitude.

Hope this helps! Let me know if you have any further questions.