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2 cards from this section. Quick, good the night before a test.
Define orthogonal vectors.
Think about their angle with respect to each other.
What conditions must a set of vectors meet to be considered orthonormal?
Recall the properties of orthogonality and length.
What defines two vectors as orthogonal?
Think about what it means for two lines to meet.
True or False: An orthonormal set can contain vectors that are not of unit length.
Consider the criteria for orthonormal sets.
Given two vectors u = (2, -1) and v = (-0.5, 1) in R^2, determine if they are orthogonal.
Find the inner product to check their orthogonality.
Assert whether the following set of vectors forms an orthonormal set: A = { (1,0), (0,1), (1,1)/√2, (1,-1)/√2 }.
Evaluate each vector's length and their pairwise inner products.
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