john_mawlai Posted August 3, 2010 Share Posted August 3, 2010 Hi, Can anyone help me with this: Let Bqnr be an arbitrary tensor. [Here q n are contravariant indices and r is covariant index.] Suppose we have a quantity X(p, q, r) such that X(p, q, r) Bqnr = 0. Is X(p, q, r) identically zero? Thanks a lot in advance. john_mawlai. Link to comment Share on other sites More sharing options...
Bignose Posted August 4, 2010 Share Posted August 4, 2010 john, this forum doesn't answer homework questions directly (and, this looks an awful lot like homework), so the 1st question is what do you think and why? 1 Link to comment Share on other sites More sharing options...
ajb Posted August 4, 2010 Share Posted August 4, 2010 (edited) I am not sure what [math]X(p,q,r)[/math] is. Is it a scalar? Anyway, a little clue might be that if all components of a tensor are zero in one coordinate system, then they are all zero in any coordinate system. Edited August 4, 2010 by ajb Link to comment Share on other sites More sharing options...
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