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if veca , vecb and vecc are three non-ze...

if `veca , vecb and vecc` are three non-zero, non- coplanar vectors and `vecb_(1)=vecb-(vecb.veca)/(|veca|^(2))veca,vecb_(2)=vecb+(vecb.veca)/(|veca|^(2))veca,vecc_(1)=vecc-(vecc.veca)/(|veca|^(2))veca+ (vecb.vecc)/(|vecc|^(2))vecb_(1),vecc_(2)=vecc-(vecc.veca)/(|veca|^(2)) veca-(vecbvecc)/(|vecb_(1)|^(2))vecb_(1),vecc_(3)=vecc- (vecc.veca)/(|vecc|^(2))veca + (vecb.vecc)/(|vecc|^(2))vecb_(1), vecc_(4)=vecc - (vecc.veca)/(|vecc|^(2))veca= (vecb.vecc)/(|vecb|^(2))vecb_(1)`, then the set of orthogonal vectors is

A

`(veca,vecb, vecc_(1))`

B

`(veca,vecb_(1),vecc_(2))`

C

`(veca,vecb_(2),vecc_(3))`

D

`(veca,vecb_(2),vecc_(4))`

Text Solution

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The correct Answer is:
B
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