Find the best approximation to u = (3,-7, 2, 3) as a linear combination = (2,-1,-3. 1) and = (1,1,0,-1).

Q: U = 11. mi + 2루= (a) m

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Q: Let ā = (1, 3,-1) and b (-1,0, 2). What is the y-component of ā x b %3D %3D 1 -1 3.

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Q: Given u = (-2, 4) and = (1, 6), find 3(uw).

A: The vectors are given by u→ = -2, 4w→ = 1, 6 To evaluate: The value of 3u→·w→

Q: Susie was asked to solve the following system of equations: x+ 3y = 1 - 3x - 3y = - 1 Her solution…

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Q: Express w as a linear combination of u and v. 4 --}-}--[:] W = 6 u 3 2 6 6

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Q: Find dy2 of z = 2x – 5xy² + x² y° %3D -

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Q: Line through (3, 4, −1) and parallel to 2i − 3j + 6k

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Q: let R = (-2, 7). Calculate the following: The components of u = PŔ, where P = (1, 2)

A: Given,               R=(-2, 7)   and   P= (1, 2).    The components  of u=PR⇀=?

Q: -x + y -z = −17 2xy + z = 3x + 2y + z = (x, y, z) =

A: -x+y-z=-17......(1)2x-y+z=24......(2)3x+2y+z=16......(3)

Q: Find real numbers and such that 2.x – 3iy + 4ix – 2 y – 5–10ix = x + y – iy + 2-(3– x)i

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Q: Find the value of k so that the line containing the points (1,6) and (k,0) is parallel to the line…

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Q: 2a - 5y dA, R =(-5,4] x [0, 3] R.

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Q: -5x y"+ 3y- 10y = - 14 xe

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Q: Explain why an equation Ax = b has a solution if and only if b is orthogonal to all solutions of the…

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