Question: Find two vectors, x and y, such that span {x, y) = span {u, v; and x is orthogonal to y. Explain why your choice

Find two vectors, x and y, such that span {x, y) = span {u, v; and x is orthogonal to y. Explain why your choice of x and y works. Determine the values for a, b and c such that the set below is an orthogonal basis for R' (i) Verify that u, v and w is an orthonormal basis for IR . [201920207 (ii) Express the vector, | 20212022 as a linear combination of u, v and w. 20232024 Diagonalise with an orthogonal matrix. 8

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