Find the coordinate vector [x]g of x relative to the given basis B = {b,,b2}. - 5 2 12 |, b2 = 1 - 1 [x]B (Simplify your answers.)

Q: Calculate [1, 2, 2] x [5, -5, -1] -

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Q: skip the first 3 thank you

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Q: 9. If = 1, 4, 5) and W = (2, -3, 1 V ( − w a) 3-2W b) |v|

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Q: Write the vector equation of the line defined by the following points. (25,17,42)and(-16, 12, 25)

A: Answer is given below :-Explanation:To find the vector equation of the line passing through two…

Q: Find the vector x determined by the given coordinate vector [x]p and the given basis B. 1. -5 -3 2.…

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Q: Find the solution set of the following vector equation.

A: In this question, we solve the system of equations. Here, we write the system in the matrix form,…

Q: Find the coordinate vector of x2 + x - 17 relative to the basis {x² + 1, x + 2, x - 3}.

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Q: Find the coordinate vector [x] of x relative to the given basis B = {b₁,b₂, b3}. b₁ = 1 - 1 - 3 , b₂…

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Q: Find the cross product a × b. a = (6, 5, -4), b =(2, -1, 1) Verify that it is orthogonal to both a…

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Q: M] - [8] x+y -3x+y.

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Q: Find the vector X (in standard coordinates) determined by the given coordinate vector [X] and the…

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Q: Question 8. What is the domain of f(x) = /3 – x? (1:1

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Q: Find the vector x determined by the given coordinate vector (xlg and the given basis 8.

A: In this question, we have given the Basis set of vector space and the coordinate vector [X]B. By…

Q: Find the coordinate vector of (-1, 32) relative to the basis {(1, 3), (-1, 4)}.

A: We use the definition of coordinate vector relative to a given basis to answer the given question.

Q: e) a unit vector perpendicular to both i and i f) the volume of the parallelepiped formed by vectors…

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Q: 98. Determine whether the vectors AB and PQ are B(-2, 2, 0), where A(1, 4, 1), equivalent, P(2, 5,…

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Q: Find the vector x determined by the given coordinate vector [x]R and the given basis B. - 1 2 - 4 B=…

A: The vector x is the linear combination of the vector in basis B.

Q: Given an initial point A(4,7,4) and terminal point B(-7,8,-2). Find the component form of the vector…

A: Given an initial point A(4, 7, 4) and the terminal point B(-7, 8, -2).

Q: Let v vector=[−4 −6] and b vector =[8 1 2] (check the image for reference) Is b vector in the…

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Q: That is not correct. The first Vector answer is [-2/3, -1/3, -2/3] (column wise format.)

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Q: a = (3, 2, 4), b = (-3, 3, 0), c = (0, 0, -2) %3D (a) Find a x (b x c). a x (b x c) = || %3D (b)…

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