The tail of a vector is fixed to the origin of an x, y axis system. Originally t

Question

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.)

SELECT AN OPTION UNDER EACH A, B, C, D

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

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

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

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

Explanation / Answer

(a) Ax = 0 units and Ay = +12 units (b) Ax = -12 units and Ay = 0 units (c) Ax = 0 units and Ay = -12 units (d) Ax = +12 units and Ay = 0 units

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