ind an equation for the plane that passes through the point A(1,2,3)parallel to u = 2i + 3 j + k nd y =i- j+2k.

Q: 4 b= -3 -8 Calculate the magnitude of the following, giving your answers to 1 d.p. a a+b b 2a -b d…

A: The vectors a=4-3,b=-57, and c=-1-8. We have to calculate the magnitude of the following a. a+bb.…

Q: ctor is a quantity characterized by only a positive or negative number that represents its magnitude…

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Q: Problem 5 Let A be an m x n matriz and X an n x 1 column vector. Let AX = 0 1. Explain why X is…

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Q: Ex Look at the fixed point (1,11 of [x = x-y lý -1-xy Jacobian: J(x, y) = (y _x) J(₁, 1) = (1 - 1)…

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Q: Three vectors u, v, and w exist such that - + = 0. Determine the value of ū+uw + (-). w, given that…

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Q: 1. Vectors v and w are given on the grid. It can be calculated that 2v + w = . Make a drawing on the…

A: First take the origin and find v & w vectors then solve each part.

Q: 5. Two lines have equations: L₁: x = 3t + 1, y = 3, z = −t + 2, teR and L₂: x = 2s +3, y = −s + 1, z…

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Q: M] - [8] x+y -3x+y.

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Q: Vectors Write EC in terms G. of a and b 91

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Q: Question 5 Let u = 5i – j+k, v=j-5k and w=-15i+3j– 3k. Which vectors, if any, are a) Parallel b)…

A: Two vectors u and v are perpendicular if u.v=0                                        Parallel if…

Q: ri If the vector 2i – 6j is perpendicular to the vector 2 + 5j in R2, what is r?

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Q: Determine the Cartesian equation of the plane that contains the line = (7,2,-1)+ a(4,5,1) and…

A: Given problem:- Determine the Cartesian equation of the plane that contains the line = (7,2,-1) +…

Q: 3 The parallelogram ABCD shows the points P and Q dividing each of the lines AD and DC in the ratio…

A: Given a parallelogram ABCD, a) Given DA→=a, DC→=b Since ABCD is a parallelogram DA→=CB→=a, DC→=AB→=b…

Q: 3 r = 2 p= q = -4 Calculate the magnitude of the following, giving your answers to 3 s.f. 1. b r+q а…

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Q: For what value(s) of h will y be in Span{v1, v2, v3} if Vi = V2 = and y = V3 = 3 h

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Q: 2. 5. 2.6= 3 and c = 5. Let a = %3D 3 Compute (1) a + c (2) a + 6+ a (3) c+d +b

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Q: Calculate the magnitude of the vector AB shown in the diagram. A B-

A: As per guidelines we can solve the first question only. For any other answer repost the question.

Q: 5. Suppose curves C₁ and C2 are parameterized as follows: C₁: (x(t), y(t)) = (0, t), and -1 ≤ t ≤1…

A: Introduction: The function to be integrated is chosen along a curve in the coordinate system for a…

Q: 1. a) Given the lines L₁ : 7 = (1,2,−4) + t(k+ 1,3k + 1, k − 3) and L₂: x=2-3s, y = 1-10s, z = 3-5s,…

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Q: In Questions 1 and 2, describe each translation using a column vector. 1 c CĎ h CẢ d DE i DB e EA i…

A: Since this is a multipart questions, only 1st question and its first three sub-parts is to be solved…

Q: The Line LI : %3D Plane X+ 3y-Z= -3 , P and intersect the %3D Lind the point of intersection Irne in…

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Q: Betermine the value of k for which the following planes are perpendicular: π₁ = (1, 2,7) + s(4,2,0)…

A: π1 = (1,2,7)+s(4,2,0)+t(k,1,2)  First need to find the normal of the planeIf the plane in the form…

Q: 2 In the triangle ABC, the point D divides the line AB in the ratio 1:3 and E divides the line AC…

A: Given that in the triangle ABC , the point D divides the line AB in the ratio 1:3 and E divides the…

Q: a Name another vector equal to DE in the diagram b Express DF in terms of BC. c Express CF in terms…

A: If a vector is said to be equal if it's magnitude and direction is same.   In the problem we want to…

Q: Scalar

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Q: The position vector of the particle is 1 R = î cos(t) + ĝ sin(t) + k log (0 <t < T/2). sin t' (a)…

A: Differentiate the position vector R→=costi^+sintj^+log1sintk^ with respect to t, to obtain the…

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.