Vector has a magnitude of 16.0 m and is pointing eastward. It is rotated 110.0° clockwise. The component of this vector along west is
A) 15.0 m.
B) 5.47 m.
C) 18.7 m.
D) 12.4 m.
E) 44.0 m.

Question

Vector  has a magnitude of 16.0 m and is pointing eastward. It is rotated 110.0° clockwise. The component of this vector along west is
A) 15.0 m. 
B) 5.47 m. 
C) 18.7 m. 
D) 12.4 m. 
E) 44.0 m.

Quizplus · Accepted Answer

Since vector 11ea6ebb_72c8_7165_9d78_454e0472d6a6_TB6213_11 is originally pointing eastward, the component of the vector along the west must be in the opposite direction.

To find the component of the vector along the west, we need to use trigonometry. We know the magnitude of the vector (16.0 m) and the angle it makes with the positive x-axis after rotation (110.0° clockwise).

The component of the vector along the west can be found using the following formula:

component along west = magnitude of vector * cos(angle)

component along west = 16.0 * cos(110.0°)

component along west = 5.47 m

Therefore, the answer is B: 5.47 m.

Vector Has a Magnitude of 16