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Examine whether the following vectors fr...

Examine whether the following vectors from a linearly dependent or independent set of vector: `veca(1,-2,30,vecb=(-2,3,-4),vecc=(1,-1,5)``

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If veca, vecb and vecc are three non-zero, non-coplanar vectors,then find the linear relation between the following four vectors : veca-2vecb+3vecc, 2veca-3vecb+4vecc, 3veca-4vecb+ 5vecc, 7veca-11vecb+15vecc .

If veca, vecb and vecc are three non-zero, non-coplanar vectors,then find the linear relation between the following four vectors : veca-2vecb+3vecc, 2veca-3vecb+4vecc, 3veca-4vecb+ 5vecc, 7veca-11vecb+15vecc .

If veca, vecb and vecc are three non-zero, non-coplanar vectors,then find the linear relation between the following four vectors : veca-2vecb+3vecc, 2veca-3vecb+4vecc, 3veca-4vecb+ 5vecc, 7veca-11vecb+15vecc .

If a,b,c are linearly independent, then ([[veca+2vecb,2vecb+vecc,5vecc+veca] ])/([vecavecbvecc])