Let u = (−3, 2), v = (3, −2) and A = - [ i]. 1 4 NOTE: Give exact answers. | (a) Find ||u|| relative to the inner product on R² generated by the matrix A. || u || = (b) Find d(u, v) relative to the inner product on R² generated by the matrix A. d(u, v) =

Q: Please show me the steps to solve this question. It is a part of vector calculus.

A: Value of the integral is 9/16Explanation:

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A: We have to find <u, v>

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A: Let and .To Find: a) ||u|| relative to the inner product generated by matrix A.b) d(u,v) relative to…

Q: 1.) Find the area using matrix and determinants? N Bermuda (592,239) Miami (0,0) W E Puerto Rico…

A: Please check step 2 for solution.

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A: Norm is square root of inner product.

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A:

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A:

Q: 6 Let (u, v) be the inner product on R² generated by A = - [ -1 and let u = (3, −5), v = (7,4). Find…

A: We have to find the .

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A:

Q: Find u · (v x w). This quantity is called the triple scalar product of u, v, and w. u = (4, 4, 4), v…

A: = i(5·0 - 0·(-1)) - j (1·0 - 0·0) + k (1·(-1) - 5·0) = i (0 - 0) - j (0 - 0) + k (-1…

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A:

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Q: Example C The following two functions are linearly independent: Yk (2) = e rọk, 0 = constant. (4.99)…

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A: Aim:111b+ca+ca+b1-11+111abc0-20=0

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A: The solution is given as

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A: Let's find.

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A: To find the value of k using determinant of the given matrix.

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A: