Two vectors, = and , are added together to form the vector = + .
The relationship between the magnitudes of these vectors is given by:
C x = 0, C y = A sin 60° + B sin 30°
A x and Ay point in the positive x and y directions, respectively.
-Which one of the following statements best describes the orientation of vectors and .
A) and point in opposite directions.
B) points 60° above the positive x axis while points 30° above the negative x axis.
C) points 60° above the negative x axis while points 30° above the positive x axis.
D) points 60° below the positive x axis while points 30° above the positive y axis.
E) points 60° below the positive x axis while points 30° below the positive y axis.

Question

Two vectors, = and  , are added together to form the vector  = +  .
The relationship between the magnitudes of these vectors is given by:
C x = 0, C y = A sin 60° + B sin 30°
A x and Ay point in the positive x and y directions, respectively.
-Which one of the following statements best describes the orientation of vectors  and . 
A) and point in opposite directions. 
B) points 60° above the positive x axis while points 30° above the negative x axis. 
C) points 60° above the negative x axis while points 30° above the positive x axis. 
D) points 60° below the positive x axis while points 30° above the positive y axis. 
E) points 60° below the positive x axis while points 30° below the positive y axis.

Quizplus · Accepted Answer

Vector C_x is horizontal and vector C_y is pointing upward and to the right at an angle of 60°, while vector A_x is pointing to the right and vector A_y is pointing upward at an angle of 30°. Using vector addition, we can determine that 11ea7e4c_68cb_4f22_9a0a_c7dbe74595bd_TB3413_11 points 60° above the positive x axis while 11ea7e4c_68cb_4f23_9a0a_d989d8654085_TB3413_11 points 30° above the negative x axis. Therefore, the correct answer is B.

Two Vectors, = and , Are Added Together to Form