Find the vectors direction of F= -2yi-xJ of the points below :- (-12-1), (-21-1),(3,0). (-1₁-2), (-3,-2), (-1,0)

Q: Given vectors v = (3, -1) and w = 1 (-4, 6), find 2v - 2W {8, -5) (4, -5) (-5, 4) (-8, 5) (-8, -5)

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Q: Find the new equation of the line y=x after applying the translation by the vector (2, -1)

A: New line will be shifted to 2 units right and 1 unit down.   Point on x axis (2,0) Point on y axis…

Q: An object moves with constant velocity (which means constant speed and direction) from (-3, 1) to…

A: By using slope intersept formula and distance formulas we solve the given problem

Q: 3 = [ ¹₂ ], b = [ ³ ], c = [ ¹₁ ], d = [¯^¹'], and v = [¯2²], 5. Given vectors a = (a) Find all real…

A: We are given the vectors and we have to solve given problem.

Q: Find a set of symmetric equations for the line “A" perpendicular to the lines having direction…

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Q: (b) Find the points in which the required line in part (a) intersects the coordinate planes.

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Q: Suppose the equation ax + by = c corresponds to the vector (a, b, c). To what equation will…

A: Given that:The equation ax+by=c corresponds to the vector ⟨a,b,c⟩. (1).The given vector is:…

Q: (4,6) V2 = (-3, -6) V3 = (-8, 4) V4 = (10, ニ

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Q: Determine if the vectors , and are linearly independent.

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Q: Consider the vectors A= (4, -2, 2), B =-(-2,3,0), and C= (0, 2, 1). 1. Find the following. (a) B- A…

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Q: 5) 5 li) Given that the vectors a and b are parallel, find the value of x when ()- 4 a and b = 8…

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Q: Express the equation of the line that passes through the point p (2,6, -7) and v (3, -4,1) the…

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Q: Three points (9,-2, 4), (5,-5,3), and (7,1,-3) can be the vertices of a triangle. If you can make…

A: Vectors

Q: Which of the following Is a direction vector for the line through A(5, -3) and B(-1, 2)? Select one:…

A: For the direction vector, we just find out the direction of the given point.

Q: The contrasts (-3, 1 1 1) and (0, 0 , -1, 1) are orthogonal? Is it True or False?

A: Orthogonal contrasts: A set of contrasts in which, for any distinct pair, the sum of the…

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: The normal vector of 2x + By - 16.7z = -8 is: ○ [2, 뮤, -16.7, 8) ① [호, 꽃, 16.7, -8] ① [올, 꽃, -16.7]…

A: We have given equation of a plane  92x+133y-16.7z=-8 Comparing this with the equation  lx+my+nz=d We…

Q: What is the direction of u= (2,–3,–6).

A: Direction of a given Vector.

Q: Solve for all vectors X so that × X = .

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Q: Q3/A/ If ā = i – 2j + k , Find: i) (ā x b). (ā x c) ii) (ā × 5) × (ā x c) tho vectors 2i - i+ 2k and…

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Q: (d) comp5 (e) projzā

A: Here we want to find component of vector b along the vector a . And  Projection of vector a along…

Q: Find the equation of the plane that passes through the point (−2, 8, 4) and contains vectors ⃗a…

A: The equation of plane passing through the point x0, y0, z0 and contins vector a→ amd b→ is n1(x -…

Q: Draw the vectors in standard position in R2 with their tails at the point (2, -3).

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Q: :) What is a 2b2+|a.b|²? Let a = 0 and b = -2 0 2 be two vectors.

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Q: Find CI general set of solution vectors x₂ = Xg -572 X ₂ = X₁ + 3×₁₂ 2

A: Given:To find:The solution of the system.Concept used:It is easy to approach this problem using…