How to find the solution?

Question

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Find a non-trivial linear combination of a�, b� and c�.

0–=0_=  a+�+  b� ++  c� .

Answer 1

Hi Bozhi,

Based on the picture, just using the visual vector addition, it is clear that a + b + c is a non-trivial linear combination. Non-trivial simply means the result must be nonzero. In fact, it looks like b+c is equal to a, so in this case we would have a+b+c = 2a which is nonzero since a is nonzero.

Please let me know if this answers your question. I am happy to follow up if needed.