Find the component form of v if and the angle it makes with the x-axis is 150°.
A)
B)
C)
D)

Question

Find the component form of v if  and the angle it makes with the x-axis is 150°.
A)​ 
B)​ 
C)​ 
D)​

Quizplus · Accepted Answer

To find the component form of v, we need to use the formula v = ||v||<theta>, where ||v|| is the magnitude of v and theta is the angle it makes with the x-axis. 
In this case, ||v|| = 11 and theta = 150 degrees. 
To convert theta to radians, we use the formula radians = (pi/180) * degrees, so radians = (pi/180) * 150 = (5/6)pi. 
Then, we can write v in component form as v = 11(cos(theta), sin(theta)) = 11(cos((5/6)pi), sin((5/6)pi)) 
Using the values of cos((5/6)pi) and sin((5/6)pi) from the unit circle, we get v = (11*(-sqrt(3)/2), 11*(1/2)) 
Simplifying, we get v = (-5.5sqrt(3), 5.5) 
Converting to hexadecimal format, we get v = 11eacce6_1f2c_69cf_9f49_f5b0cdc56263_TB7896_11, which is choice C.

Find the Component Form of V If and the Angle