Suppose vector u = LeftAngleBracket 1, StartRoot 3 EndRoot RightAngleBracket, |v| = 6, and the angle between the vectors is 120°. What is u · v?

a) – 8.19
b) – 6
c) 6
d) 8.19

Respuesta :

Answer:

B) -6

Step-by-step explanation:

got it right on edge :)

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.

What is a vector?

It is defined as the quantity that has magnitude as well as direction also the vector always follows the sum triangle law.

We have:

u = <1, √3>

The magnitude of u:

|u| = √(1²+√3²)

|u| = 2

|v| = 6

We know,

u · v = |u||v|cos120

u · v = 2(6)(-0.5)

u · v = -6

Thus, 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.

Learn more about the vector here:

brainly.com/question/8607618

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