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Two vectors vec(P) & vec(Q) are arranged...

Two vectors `vec(P) & vec(Q)` are arranged in such a way that they form adjacent sides of a parallelogram as shown in figure

Which of the following options have correct relationship

A

`vec(Q)=vec(R)+vec(S)`

B

`vec(R)=vec(P)+vec(Q)`

C

`vec(R)=vec(P)+vec(S)`

D

`vec(S)=vec(Q)+vec(P)`

Text Solution

Verified by Experts

The correct Answer is:
B, D
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Two vectors vec P and vec Q

Vectors vec P and vec Q represent two adjacent sides of a parallelogram.The diagonal of the parallelogram represents:

Knowledge Check

  • If vec(A) and vec(B) are two vectors, which of the following is not correct?

    A
    `vec(A)+vec(B)= vec(B)+vec(A)`
    B
    `vec(A).vec(B)= vec(B).vec(A)`
    C
    `vec(A)xxvec(B)= vec(B)xxvec(A)`
    D
    `vec(A)-vec(B)= -(vec(B)-vec(A))`

  • If the vector vec(a) lies in the planar of vectors vec(b) and vec(c ) , then which one of the following is correct?

    A
    `vec(a).(vec(b) xx vec(c )) =0`
    B
    `vec(a).(vec(b) xx vec(c ))=1`
    C
    `vec(a) (vec(b) xx vec(c ))=-1`
    D
    `vec(a) (vec(b) xx vec(a)) =3`

  • The vector vec(a) lies in the plane of vectors vec(b) and vec(c) . Which one of the following is correct ?

    A
    `vec(a).(vec(b)xxvec(c))=0`
    B
    `vec(a).(vec(b)xxvec(c))=1`
    C
    `vec(a).(vec(b)xxvec(c))=-1`
    D
    `vec(a).(vec(b)xxvec(c))=3`

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