Statement 1: ` vec a , vec b ,a n d vec c` are three mutually perpendicular unit vectors and ` vec d` is a vector such that ` vec a , vec b , vec ca n d vec d` are non-coplanar. If `[ vec d vec b vec c]=[ vec d vec a vec b]=[ vec d vec c vec a]=1,t h e n vec d= vec a+ vec b+ vec c`. Statement 2: `[ vec d vec b vec c]=[ vec d vec a vec b]=[ vec d vec c vec a]`; then `vec d` equally inclined to `vec a`,`vec b` and `vec c`.
(a) statement 1 is true but statement 2 is false. (b) statement 2 is true but statement 1 is false. (c)both the statements are true. (d) both the statements are false.