Four vectors `vec(a),vec(b),vec(c)` and `vec(x)` satisfy the relation `(vec(a)*vec(x))vec(b)=vec(c)+vec(x)` where `vec(b)*vec(a) ne 1` . Then value of `vec(x)` in terms of `vec(a), vec(b)` and `vec(c )` is equal to

Options

A. `((vec(a)*vec(c))vec(b)-vec(c)(vec(a)*vec(b)-1))/((vec(a)*vec(b)-1))`
B. `(vec(c))/(vec(a)*vec(b)-1)`
C. `(2(vec(a)*vec(c))vec(b)+vec(c))/(vec(a)*vec(b)-1)`
D. `(2(vec(a)*vec(c))vec(c)+vec(c))/(vec(a)*vec(b)-1)`

Answer

A