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Grade: 12th pass
        
The three vectors OA,OB,OC have the same magnitude r then the sum of these vectors have magnitude is and the angle between OA and OC is 45 degree and angle between OC and OA is 45 degree
4 months ago

Answers : (2)

Arun
23013 Points
							

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

 

Regards

Arun (askIITians forum expert)

4 months ago
Khimraj
3008 Points
							
A

ssuming that all three vectors are in the same plane, We can say that angle between OA and OB is 90°. This implies there resultant i.e. OA + OB = root(R^2 + R^2) => root(2) R.

Now the OC vector and resultant vector are in same direction this we can add them algebrically i.e. R + root(2) R

Answer : R [1+root(2)]

4 months ago
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