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Three vectors vec(A),vec(B) and vec(C) a...

Three vectors `vec(A),vec(B)` and `vec(C)` are such that `vec(A) = vec(B)+vec(C)` and their magnitude are 5,4 and 3 respectively. Find the angle between `vec(A)` and `vec(C)`.

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  • 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 :

    A
    `cos^(-1)((3)/(5))`
    B
    `cos^(-1)((4)/(5))`
    C
    `((pi)/(2))`
    D
    `sin^(-1)((4)/(5))`

  • The vector vec(A),vec(B) and vec( C ) are such that |vec(A)|=|vec(B)|,|vec( C )| = sqrt2|vec(A)| and vec(A) + vec(B) + vec( C ) =0. The angles between vec(A) and vec(B), vec(B) and vec( C ) respectively are

    A
    `45^(@),90^(@)`
    B
    `90^(@),135^(@)`
    C
    `90^(@),45^(@)`
    D
    `45^(@),135^(@)`

  • 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

    A
    `cos^(-1)(3/5)`
    B
    `cos^(-1)(4/5)`
    C
    `sin^(-1)(3/4)`
    D
    `pi/2`

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