Let ` vec r` be a non-zero vector satisfying ` vec r dot vec a= vec rdot vec b= vec rdot vec c=0` for given non-zero vectors ` vec a , vec b and vec c dot` Statement 1: `[ vec a- vec b ` ` ` `vec b- vec c` `` ` vec c- vec a]=0` Statement 2: `[ vec a vec b vec c]=0`