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2 cards from this section. Quick, good the night before a test.
What are orthogonal vectors?
Think about the angles formed between the vectors.
Define an orthonormal set.
What additional condition must be met besides being orthogonal?
What is the dot product of two orthogonal vectors?
What does their angle look like?
Is an orthonormal set always composed of orthogonal vectors?
Consider both properties that define orthonormality.
Given vectors v1 = (2, 3, 4) and v2 = (1, 2, -3), use the Gram-Schmidt process to create an orthonormal set.
Follow the steps of normalization and projection carefully.
Prove that the vectors (1, 1) and (-1, 1) are orthogonal by calculating their dot product.
Remember the formula for dot product calculation.
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