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

Options

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)`

Answer

B, D

Explanation

From parallelogram law of vector addition we know that (B) is correct
`because" "vec(P)+vec(S)=vec(Q)`
Hence `vec(S)=vec(Q)-vec(P)`