Home
Class 11
PHYSICS
If vec(A) + vec(B) = vec(C ) and A + B =...

If `vec(A) + vec(B) = vec(C )` and `A + B = C`, then the angle between `vec(A)` and `vec(B)` is :

A

`90^(@)`

B

`180^(@)`

C

`120^(@)`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
D
Since, `vec(a) + vec(b) = vec(c) and a +b= c`
`c^(2)= a^(2) + b^(2) + 2ab cos theta`
`theta= 0^(@)`
`c^(2)= a^(2) + b^(2) + 2ab [cos 0^(@) =1]`
`because a^(2) + b^(2) + 2ab = (a+b)^(2)`
`therefore c^(2)= (a+ b)^(2)`
`c= (a +b)`
Aliter:
`c_("max")= a+b`, when `theta= 0^(@)`
Promotional Banner

Similar Questions

Explore conceptually related problems

If vec(A)=vec(B)+vec(C ) , and the magnitudes of vec(A) , vec(B) , vec(C ) are 5,4, and 3 units, then the angle between vec(A) and vec(C ) is

Given that vec(A)+vec(B)=vec(C ) and that vec(C ) is perpendicular to vec(A) Further if |vec(A)|=|vec(C )| , then what is the angle between vec(A) and vec(B)

Given that vec(A)+vec(B)=vec(C ) . If |vec(A)|=4, |vec(B)|=5 and |vec(C )|=sqrt(61) , the angle between vec(A) and vec(B) is

If vec(A)=vec(B)+vec(C) and the magnitude of vec(A), vec(B) and vec(C) are 5, 4, and 3 units respectively the angle between vec(A) and vec(B) is :

The magnitude of vector vec(A),vec(B) and vec(C ) are respectively 12,5 and 13 unit and vec(A)+vec(B)= vec(C ) then the angle between vec(A) and vec(B) is

Assertion: If |vec(A)+vec(B)|=|vec(A)-vec(B)| , then angle between vec(A) and vec(B) is 90^(@) Reason: vec(A)+vec(B)= vec(B)+vec(A)

If vectors vec(A),vec(B) and vec(C) have magnitudes 8,15 and 17 units and vec(A) +vec(B) = vec(C) , find the angle between vec(A) and vec(B) .

If |vec a|+|vec b|=|vec c| and vec a+vec b=vec c, then find the angle between vec a and vec b

The resultant vec(C ) of vec(A) and vec(B) is perpendicular to vec(A) . Also, |vec(A)|=|vec(C )| . The angle between vec(A) and vec(B) is