Given the vectors a= <1,2,-2> and b= <6,-2,3 >, let c be the projection vector of a on b. Find a vector v such that c+v = a. Select one: 15 50 -10 7 21 7 None of them 15 50 -21 21 21 7 15 -34 -10 <7 21 21 15 34 -10 7 21' 7

Q: Find the vector z, given that u = ⟨1, 2, 3⟩, v = ⟨2, 2, −1⟩, and w = ⟨4, 0, −4⟩     (1/3)z − 3u = w

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A: Sol

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A: Linear combination

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A: The solution is given as

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A: This question can be solved using the concept of finding the vector joining two points and dot…

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A: Since vectors v and w are perpendicular so, their dot product is 0

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A: The step-by-step solution to the given question is ..  we have ,  e+f=3..........(1) we have to find…

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Q: Show which of the following are orthogonal vectors v, = 18] V2 = %3D Or = Liel Uz = 18

A: Check the dot product of given vectors are zero or not, if zero the orthogonal otherwise not

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A: Given

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A: Given: x and y are vectors in ℝn, where n&gt;1. Thus x and y are given in the form

Q: 3 (c) Let ¤ = Find the vector in col(A) which is closest to T. 2

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A: We have been given the vectors  u = &lt;1, 2, 3&gt; v = &lt;2, 2, -1&gt; w = &lt;4, 0, -4&gt;

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A: Now u = {2 ,4,10} and v = {5 , -6 , 7}  We can see that u and v vectors are linearly independent.…

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A: T is the tangent vector and N is the normal vector.  So they are always orthogonal to each other.

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A: The unit vector,  , in the direction of the vector is calculated as follows.

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Q: Given the following vectors →u and →v, find a vector →w in ℝ3 so that {→u, →v, →w} spans ℝ3 and a…

A: We are given that,                   Now, we need to find vectors w and z in such a way that,…

Q: Given the points T(6, 2, – 3), R(– 1, 4, – 2) and S(2,5, 1). Find the unit vector directed from T…

A: Please find attachment for the details solution

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A: Solve the following

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Q: Let u, v, and x be the following vectors in R’. *目…日。因 2 u = 1 X = 6 4 Let W = span{u, v}. Find the…

A: See the attachment. Send your feedback please.

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A: Hope it is useful

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Q: Given the vectors, v = (1,–2,-3) and w = (3,– 2, 1), find the orthogonal projection of v onto w.

A: Since you have posted multiple questions, we answered the first question for you. If you want us to…

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Q: Consider the vectors H [0] H . If I is the line defined by the vector w₁, fi W1 = [o] W2

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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.