Use a software program or a graphing utility with vector capabilities to find the lengths of u and v, a unit vector in the direction of v, a unit vector in the direction opposite that of u, u· v, u.u, and v v. (Round your answers to four decimal places.) , 1, v3), v-(-1, v3, -1) (a) |u| - ||v|| = the norms of u and v (b) a unit vector in the direction of v (c) a unit vector in the direction opposite that of u (d) u'V (e) n.n (f) v.v

Q: be the line through the point with coordinates (0,1,0) in the direction of the vector h of the…

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Q: a= b=

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Q: Draw arrows representing: (8, 12), (-6,4), (2, -12), (4, 10) 12 10 10 12 8- 10- 12- 14

A: We can answer first question as per the honor policy. Please resubmit other question as well to know…

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: Introduction: The coordinate of a point x,y,z is actually the components of the position vector…

Q: Describe the span of the given vectors geometrically and algebraically. [8], v = [8] - U = - (a)…

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Q: Points to choose from: A(1, -6, 8), B(3, 2, 1), C(-4, 10, -7), D(5, 7, -2), E(-1, -8, 7) 1. Choose…

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Q: Which of the follow is the direction vector of the line 7=(2, 1, 3) + t(-7, 1, 6) (7, 1, 6) O(-7, 1,…

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Q: {(0, 1,-1), (1,2, ).( 3,-1,4)}

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Q: 5. In each case, find the equation of the line with the given properties. (a) Passing through the…

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Q: A vector has the given initial and terminal points. What is the corresponding position vector?…

A: The location of a vector in a three-dimensional space is represented by its position vector.  Any…

Q: Which of the following vectors is/not perpendicular to the line whose direction vector is (2,-3,5)?…

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Q: Which vector equation below represents the line in R³ that passes through the point (-4, 5, 7) and…

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Q: Let / be the line through the point with coordinates (-2,1,0) in the direction of the vector…

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Q: Find area of the triangle with edges (-1,2,4),(1,-2,3),(-2,3,-1)

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Q: Determine whether the set, together with the indicated operations, is a vector space. If it is not,…

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Q: Let vi = (-9,9, 6). v2 = (2, 6, 4). v3 = (4,0,0) in Rº. Find a nontrivial linear relation among…

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Q: Let / be the line through the point with coordinates (0,0,1) in the direction of the vector…

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Q: S = {(2, –1, 3), (5, 0, 4)} (a) z = (11, -8, 20) z = (6) v=(15, -) (b) 4 v = (c) w = (4, -7, 13) ]…

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Q: Line E goes through the points (1, 5, 2) and has the direction vector ⟨2, 2, 3⟩. Line F goes through…

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Q: Given u = and V = , find 2u + 3v. O a) Ob) Oc) Od)

A: Given,  u=4,-3v=-1,2 Let's compute  2u=24,-32u=<8,-6> and  3v=3-1,23v=<-3,6>

Q: If u = (-9, 10, 8)|and v = (-9,5, –10), then find w| and q| where w is parallel to u, q is…

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Q: A direction vector of the line passing through the points A (3,-1,-2) and B(-1,2,1) is <-4, 3,3). •…

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Q: Use the substitution t = x - xo to solve the given differential equation. (x + 6)2y" + (x + 6)y' + y…

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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.