Final answer:
To show that vectors are linearly dependent, we need to find a non-trivial linear combination that results in the zero vector.
Step-by-step explanation:
To show that vectors are linearly dependent, we need to find a non-trivial linear combination that results in the zero vector. Let's say we have three vectors: v1, v2, and v3. If there exist scalars a, b, and c (not all zero) such that av1 + bv2 + cv3 = 0, then the vectors are linearly dependent. To find a non-trivial linear combination, we can set a = 1, b = 1, and c = -1. This gives v1 + v2 - v3 = 0, which is a non-trivial linear combination that results in the zero vector.