Problem #2: Let p = 2x² + 6x + 9. Find the coordinate vector of p relative to the following basis for P2, P₁ = 1, P2 = 1 + x, P3 = 1 + x + x². Problem #2: Enter the coordinates, separated with commas.

Q: The figure below shows four named points A, B, C, and D on a grid generated by two vectors ₁, ₂ in…

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Q: A shopper buys cat food in bags of 3 lbs. Her cat eats 3434 lb each week. How many weeks does one…

A: Given that A shopper buys cat food in bags of 3 lbs. Her cat eats 3/4 lb each week

Q: Find a vector orthogonal to both 7 -10 and w -10 -10 -4 7

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

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Q: Suppose that the vectors [1, –3, 1] and [2, 4, –1] form the sides of a parallelogram. Find the…

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Q: = [21] and v₂ = [-]₁ (a) Give an example of three vectors that are linear combinations of v₁ and v2.…

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Q: Please try to answer & explain me this question.   Determines the Cartesian equation of the plan…

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Q: https://www.youtube.com/watch?v=pE5yxgmXMmQ&t=267s This video was given as a guide

A: ANSWER AND SOLUTION: To find the coordinate vector of the polynomial f(x) = −8x3 + 3x2 − 3x + 7…

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

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Q: Find the equation of a plane passing through (2,1,3), (3, –1,5), and (1,2, –3).

A: Equation of plane

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: Find a direction vector for the line through (4, 5, 3) and (2, – 3, – 1).

A: to find the direction vector

Q: Write each of the following lines in scalar, vector, parametric, and symmetric form. Scalar…

A: Student has specifically requested help for 2nd row. Hence, answer to that row is provided below :

Q: Approximate proju and projw. -8 -7 -6 -5 -4 -3 -2 -1 proj u 5.491 projw 4.801 = vector u vector w -5…

A: Given thatWe have to approximate Projwu and Projuw.We know that

Q: Let B={b₁,b₂} be the basis in R2 pictured below. b₂ 0 If the coordinate vectors [11] b₁ a

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Q: 1. Write the vector 1 16 as a linear combination of the vectors 1 2 and 2 1

A: Let the given vectors be:w=-7116, u=-112, v=21-5. To Do: We have to write the vector w=-7116 as a…

Q: (a) 3u7 u3 (b) (c) u2 (-2u5) (d) 2u2 : (-u5)

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Q: Find the equation of the line L that passes throught point P ( – 4, 3, 7) and Q( – 8, 1, − 5). Enter…

A: r(t)=<-4,3,7>+t<-4, -2,-12>Explanation:Hope it helps youplease ask if you have any…

Q: a) Use the dot product to verify the type of angle connecting the vectors and y (acute, right or…

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Q: The symmetric equations for the line passing through (-3,–4, -5) and parallel to the vector (1,7,–…

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Q: Consider the points C(3,-2,0), D(-1,5,-1). Let b be the vector with representation CD. Write b in…

A: Ans:

Q: 2 + v - , 2+z+ 11. 0. di

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Q: Find a subset of the vectors that forms a basis of their span: (i) vi = (-1,1, -2,1), v2 = (2,-2,…

A: For (i), Notice that v2=2, -2, 4, -2=-2-1, 1, -2, 1=-2v1. So, the subset of the vectors that form a…

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

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Q: Represent the vector ⟨16,8,−14⟩ in terms of the ordered basis B={⟨5,−2,−2⟩,⟨1,−4,2⟩,⟨−1,−5,3⟩}.

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Q: In each part, determine whether the vectors are linearly inde- pendent or are linearly dependent in…

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