Statement 1: Let ` vec a , vec b , vec c and vec d` be the position vectors of four points `A ,B ,Ca n dD` and `3 vec a-2 vec b+5 vec c-6 vec d=0.` Then points `A ,B ,C ,a n dD` are coplanar. Statement 2: Three non-zero, linearly dependent coinitial vector `( vec P Q , vec P Ra n d vec P S)` are coplanar. Then ` vec P Q=lambda vec P R+mu vec P S ,w h e r elambdaa n dmu` are scalars.

Options

A. Both Statement-I and Statement-II are correct and Statement-II is the correct explanation of Statement-I
B. Both Statement-I and Statement-II are correct but Statement-II is not the correct explanation of Statement-I
C. Statement-I is correct but Statement-II is incorrect
D. Statement-II is correct but Statement-I is incorrect

Answer

A