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3 cards from this section. Quick, good the night before a test.
What is a vector space?
Think about sets with certain operations defined.
Name one axiom of vector spaces.
This axiom ensures addition stays non-exit.
What is the definition of a vector space?
Recall the structure of vector spaces.
True or False: The zero vector is the additive identity in a vector space.
Think about how adding zero affects numbers.
Given a set of vectors in ℝ³ defined by V = {(x, y, z) | x + 2y + 3z = 0}, prove whether it is a subspace.
Think about how the definition of V interacts with the properties of subspaces.
Explain how the properties of vector spaces can apply when creating a model of a bridge using forces as vectors.
Consider how vectors represent directions and magnitudes.
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