Show that if s=(v_1,v_2,v_3) is a linearly dependent set of vectors in a vector space V, and v_4 is any vector in V that is not in S, then {v_1,v_2,v_3,v_4} is also linearly dependent

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# Show that if s=(v_1,v_2,v_3) is a linearly dependent set of vectors in a vector space V, and v_4 is any vector in V that is not in S, then

Show that if s=(v_1,v_2,v_3) is a linearly dependent set of vectors in a vector space V, and v_4 is any vector in V that is not in S, then {v_1,v_2,v_3,v_4} is also linearly dependent