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If ` vec a , vec b` and ` vec c` are three non-zero, non coplanar vector ` vec b_1= vec b-( vec b . vec a)/(| vec a|^2) vec a` , ` vec c_1= vec c-( vec c . vec a)/(| vec a|^2) vec a+( vec b . vec c)/(| vec c|^2) vec b_1` , `, c_2= vec c-( vec c . vec a)/(| vec a|^2) vec a-( vec b . vec c)/(| vec b_1|^2)` , `b_1, vec c_3= vec c-( vec c . vec a)/(| vec c|^2) vec a+( vec b . vec c)/(| vec c|^2) vec b_1` , ` vec c_4= vec c-( vec c . vec a)/(| vec c|^2) vec a=( vec b . vec c)/(| vec b|^2) vec b_1` then the set of orthogonal vectors is
a. `( vec a , vec b_1, vec c_3)`
b. `( vec a , vec b_1, vec c_2)`
c. `( vec a , vec b_1, vec c_1)`
d. `( vec a , vec b_2, vec c_2)`

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