If `A=3hat(i)-2hat(j)+hat(k),B=hat(i)-3hat(j)+5hat(k) and C=2hat(i)+hat(j)-4hat(k)` form a right angled triangle, then out of the following which one is satisfed ?

Options

A. `vec(A)=vec(B)+vec( C ) and A^(2)=B^(2)+c^(2)`
B. `vec(A)=vec(B)+vec( C ) and B^(2)=A^(2)+c^(2)`
C. `vec(B)=vec(A)+vec(C) and B^(2)=A^(2)+C^(2)`
D. `vec(B)=vec(A)+vec(C) and A^(2)=B^(2)+C^(2)`

Answer

B