Answer :
Final answer:
The orientation of the vector is 116.6 degrees. Therefore the correct answer is option c.
Explanation:
The orientation of a vector with X and Y components can be determined by using trigonometry. In this case, the X component is -20 and the Y component is 40. We can use the tangent function to find the angle:
Angle = arctan(Y/X)
= arctan(40/-20)
= -63.4 degrees
Since the angle is negative, we can add 180 degrees to get the positive orientation:
Orientation = -63.4 + 180
= 116.6 degrees
