If a , b and c are three vectors such that | a |=1,| b |=2 , | c |=3 and a b = b c = c a =0 , then |[ a b c ] is equal to

Step-by-step solution

For three vectors a, b and c | a |=1,| ~b |=2,| c |=3 and a b = b c = c a =0 = | array ccc | a |^2 & 0 & 0 0 & | ~b |^2 & 0 0 & 0 & | c |^2 array | [ a a =| a |] aligned & = | array lll 1 & 0 & 0 0 & 4 & 0 0 & 9 & 9 array | & =1(36-0) & [ . array lll a & b & c array |^2=36 . & | [ array lll a & b & c array ] |=6 aligned