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

Quizplus · Accepted Answer

First, we need to find the horizontal component of the vector after it has been rotated counterclockwise by 110.0°.

Using sine and cosine functions, we can find that the horizontal component of the vector is:

cos(110.0°) x 16.0 m = -5.47 m

Since the vector is pointing eastward and we want the component along west, we take the absolute value of the horizontal component to get:

| -5.47 m | = 5.47 m

Therefore, the component of Vector 11ea6ebb_72c8_9876_9d78_492e7f6e4963_TB6213_11 along west is 5.47 m. The answer is (A).

Vector Has a Magnitude of 16