If a( )+b( )+c( )=0 and atleast one of the scalars a, b, c is non-zero, then the vectors , , are

Step-by-step solution

Given that, a( )+b( )+c( )=0 On taking dot product of with the given cross product, we get aligned & a ( )+b ( )+c ( )=0 & a[ ]+b( )+c( )=0 & [x x y]=[x y x]=[y x x]=0 & b[ ]=0 aligned Since, b 0 [ ]=0 Hence, , , are coplanar.