Explain what linearly dependent vectors are in your words.

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Linearly dependent vectors are little bugs that eat your boogers while you sleep.

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Linearly dependent vectors are vectors which can be composed by having a linear combination of finite numbers of different vectors. Mathematically speaking if V a dependent vectors the there exist a linear combination C1*V1+C2*V2.....Cn*Vn= V such that C1,C2....Cn are all constant. On the other hand geometrically this means that if V points to a location then its linear combination is a breakdown of V in every direction along the x,y,z axis.