The value of u · v is -6 if the u = <1, √3> and |v| = 6, and the angle between the vectors is 120° option (b) is correct.
It is defined as the quantity that has magnitude as well as direction also the vector always follows the sum triangle law.
It is given that, u = <1, √3>
The magnitude of u:
|u| = √(1²+√3²)
|u| = 2
|v| = 6
The product of vectors is calculated:-
u · v = |u||v|cos120
u · v = 2(6)(-0.5)
u · v = -6
Hence, option (b) is correct.
The complete question is given below:-
Suppose vector u = (1, √3), |v|= 6, and the angle between the vectors is 120°. What is u - v?
A. - 8.19
B. 6
C. -6
D. 8.19
Learn more about the vector here:
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