1 4 Give a reason why the vectors 1 are 8 -88 arly dependent. (3 pts) Write one vector as a linear combination of the others. Do not use result of part b, to answer part a.

Q: Let a = -2 and b = 3 (b) = the component of b in the direction of a . = (-5*14^0.5)/7 -2 be vectors.…

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Q: 4. Subtract the vectors shown. (blue - green)

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Q: Consider the following vectors: 3 9 -6 6. b= -9 9 3. 10 -9 For each of the following vectors,…

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Q: find the diJ tance betueen the vectors

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Q: Let a (6,7, –2) and b = (4, 4, –1) be vectors. Compute the following vectors. A. a + b =( 10 11 -3…

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Q: If possible, find a linear combination of the form w = a₁v₁ + a₂V₂ + a3V3 where v₁ = (2, -1, 4), V₂…

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Q: For the following three vectors are given in Cartesian coordinates: A₁ = [-4,3], A₂= [13,5], and A3…

A: The given vectors A1=-4, 3, A2=13, 5, and A3=12, 13. We have to find the values of a) A1, A2, A3 b)…

Q: Let à = (-5, - 2, 4) and b = (-1,5, 3). Find a x b. (Enter your answer as a vector of the form .)…

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Q: How are vectors added and subtracted geometrically? Algebraically?

A: Vector Addition Geometrically:

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

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Q: Consider the vectors Vị = 2 , V2 = V3 3 E R³. , V4 = Find the first vector in this list which is not…

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Q: Give 2 vectors of length 7 that are parallel to (-1, 2, –2).

A: Find the required vectors

Q: Express the vector - 6i- 2j-9k as a product of its length and direction. - 6i-2j-9k= 11 -[A-0-8] i+…

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Q: h 2 S4 2- h 45 LT 2 0 O

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Q: Determine the vector 8a – 7b if a = -3i + 2j – 4k and b = 5i + 6j + 2k. 8a – 7b help (vectors)

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Q: how is C equal to the difference of vectors A and B?

A: Dear user, Please read the question. We need to express Vector A in terms of sum of  B and C.

Q: a, b, and c are vectors. Then the expression axc+bxa is (a) Meaningless (b) A vector collinear with…

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Q: Are the vectors -2-x², 1+ 2x + x² and 2x - 2-2 linearly independent? choose If the vectors are…

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Q: The figure below shows two named points A and B in R?. 4 3 2 -6 -6 -5 -4 -3 -2 -1 2 3 4 5 6 • Part 1…

A: Given that the figure shows two named points A and B in R2.

Q: Explain the Combination of basis vectors.

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Q: Verify that the two expressions are equal using the followi vectors Á = az + 2a, + 3a,, B = ax – ay…

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Q: 3. Choose three vectors: and Use these vectors to verify the associative property.

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.