Question: Express the vector v = (x, y, z) as the sum of its projection onto 6 = (1, 1, 1) and its orthogonal component

Express the vector v = (x, y, z) as the sum of

Express the vector v = (x, y, z) as the sum of its projection onto 6 = (1, 1, 1) and its orthogonal component to 6. Verify is orthogonal to 6. that is parallel to 6 and that

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