Which of the following describes the closure under scalar multiplication axiom for a vector space V (where a is a scalar in scaler field K and u is a vector in V)?

Question

Answer

For all scalars a in K and all vectors u in V, the scalar multiple au is in K.

Answer

For all scalars a and all vectors u in V, the scalar multiple au is in V.

Answer

There exists a vector 0 in V such that u + 0 = u.

Answer

For every vector u in V, there exists -u such that u + (-u) = 0.

Answer

For all vectors u and v in V, u + v is in K.

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Which of the following describes the closure under scalar multiplication axiom f...

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