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If |vec(A)+vec(B)|=|vec(A)|=|vec(B)| the...

If `|vec(A)+vec(B)|=|vec(A)|=|vec(B)|` then the angle between `vec(A)` and `vec(B)`is

A

`90^(@)`

B

`120^(@)`

C

`0^(@)`

D

`60^(@)`

Text Solution

Verified by Experts

The correct Answer is:
C
Resultant of two vector `vec(A)` and `vec(B)` can be given by
`vec(R )= vec(A)+vec(B)`
`|vec(R )|=vec(A)+vec(B)|= sqrt(A^(2)+B^(2)+2AB cos theta)`
If `theta= 0^(@)` then `|vec(R )|=A+B= |vec(A)|+|vec(B)|`
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Knowledge Check

  • If |vec(A) xx vec(B)| = |vec(A).vec(B)| , then the angle between vec(A) and vec(B) will be :

    A
    `30^(@)`
    B
    `45^(@)`
    C
    `60^(@)`
    D
    `75^(@)`

  • If |vec(A)xxvec(B)|=|vec(A)*vec(B)| ,then the angle between vec(A) and vec(B) will be

    A
    `30^(@)`
    B
    `45^(@)`
    C
    `60^(@)`
    D
    `90^(@)`

  • If |vec(A)+vec(B)|=|vec(A)|+|vec(B)|, then angle between vec(A)and vec(B) will be

    A
    `90^(@)`
    B
    `120^(@)`
    C
    `0^(@)`
    D
    `60^(@)`
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