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3 cards from this section. Quick, good the night before a test.
Define an inner product space.
Think about the properties that define how vectors interact.
What does orthogonal mean?
This is related to angles between vectors.
What is an inner product space?
Think about the components of an inner product.
True or False: The inner product of two orthogonal vectors is always zero.
Consider what orthogonal means.
Given vectors A = (1, 2, 3) and B = (4, -1, 2), calculate their inner product and determine if they are orthogonal.
Remember the definition of the inner product.
For vectors X = (0, 0) and Y = (2, 3), confirm if they are orthogonal using the inner product.
Evaluate the vector components directly.
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