Final answer:
To find the values of h for which the vectors are linearly independent, we need to consider the determinant of the matrix formed by the vectors.
Step-by-step explanation:
In order to determine the values of h for which the vectors are linearly independent, we need to consider the determinant of the matrix formed by the vectors. If the determinant is non-zero, then the vectors are linearly independent. Let's assume we have two vectors, v1 and v2, represented as column vectors:
v1 = [a, b, c]
v2 = [d, e, f]
The determinant of the matrix formed by v1 and v2 is given by:
|v1, v2| = ad - bc
If the determinant is non-zero, then a, b, c, d, e, and f must satisfy the equation ad - bc ≠0. Solving this equation will give us the values of h for which the vectors are linearly independent.