magnitude of vector

Question

Find magnitude of vector 1/2⟨-1,√3⟩

 

(a) 2

 

(b) 0

 

(c) 1

 

(d) 3

 

Please show step by step work to solution and provide final answer. Please and Thank You!

Answer 1

Michael,

 

It looks like there is a phantom voter out there voting down solutions that are totally correct.  I noticed he/she did it here, and in several other solutions.  Have you noticed this too?  I wish down-voters would either leave a comment stating what is wrong with the solution, or else post their own different solution.  Otherwise, someone out there is just being frivolous.

Answer 2

Multiply 1/2 to all vector component values.

 

<-1/2 , √(3)/2>

 

 

Magnitude = √[(-1/2)² + (√(3)/2)²]

                = √((1/4) + (3/4))

                = √(4/4)

                = 1