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The three vectors OA,OB,OC have the same magnitude r,then the sum of these vectors have magnitude?

The three vectors OA,OB,OC have the same magnitude r,then the sum of these vectors have magnitude? 

Grade:12th pass

2 Answers

Arun
25750 Points
4 years ago
Dear student 
 
Please define the angles between them.
You can also attach an image.
 
I will be happy to help you.
Khimraj
3007 Points
4 years ago

Then angle between vector OB and OA will be 90° now break vector OC into its rectangular components..

Like vector OCcos45° along vector OA and OAsin45° along vector OB then add them simple algebraically where |OA|=|OB|=|OC|=R such as

R+Rcos45° along vector OA

(1+1/√2)R

And

R +Rsin45° along vector OB

(1+1/√2)R

Now apply formula resultant =(A^2 + B^2 + 2ABcos$)^(1/2) where $ is angle between them

Here $ = 90°

So we have sum =(√2 +1)R

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