Find the coordinate vector [x] of x relative to the given basis B = {b₁,b₂, b3}. b₁ = 1 ·1, b₂ = - 2 - [x] B = (Simplify your answer.) -2 - 3, b3 = 4 2 -2 8 X = -9 10 - 18

Q: The vector h = 16 -25 can be written as a linear combination of h 3 -5 -12 and 2 B -3. Find the…

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Q: find ---y (a) u•v, (b) u•u, (c) ||v ||2, (d) (u• v)v, and (e) u • (3v).

A: Disclaimer: Since you have asked a question with multiple sub-parts, we will solve the first three…

Q: Express the vector t as a linear combination of the vectors u, v, and w. 1 2 2 t = v = - 4 - 4 u= 14…

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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 each scalar multiple. aа. 2(3, 1) b. 3(-5, 1) c. -(-6. 0)

A: Given: a)  23,1b)  3-5,1c) -12-6,0 To determine: Scalar multiple in each case.

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

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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: What is the component form of v?

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Q: -4 2 n = (-1, – 2) and D = 4 3 What is D· n? Enter your answer as a vector by filling in the boxes.

A: The vector <a, b> can also be written as ab. Multiply the vector -1-2 and given matrix in the…

Q: Define irrotational vector. Is the vector A =(6xy+z³)i+(3x² - 2)j+(3xz² – y)k irrotational? Justify…

A: we have the vector A=(6xy+z3)i+(3x2-z)j+(3xz2-y)k we have to check weather the given vector is…

Q: X₁ A. 2 -4 O C. 7 -5 HHH + X3 1 Choose the correct answer below. + X₂ 2x₁ + 7x₂ + 5xX3 = 0 4x₁ + 5x₂…

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Q: Use the vectors v=3i+j-2k and w=-3i+2j-k to find each expression. ||v - w ||

A: Given vectors are: v=3i+j-2kw=-3i+2j-k We have to find v-w.

Q: The z-coordinate of the terminal point of the vector v=-5i-19k whose initial point is (-1,-4,-5) is

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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: 2. An archer shoots an arrow from a tower to a distant target. Assume that the position of the a…

A: Given position of the arrow x(t), y(t)=50t, 18t-3t2+48 where 't' is in seconds. We know at the…

Q: Find the coordinate vector of a -2 with respect to the basis B %3D for R.

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Q: Find the unit vector in the direction of the given vector. Write your answer in (a) component form…

A: According to our guidelines we can answer only 3 subparts or first questions. Kindly repost the…

Q: Find the coordinate vector [x] of the vector x = to the basis B = O 2 -(0·04]} 1 3 8 2 O The…

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