As an example, visualize the geometry of the situation in R². For visualization, [0.5] we select x = Draw: axes, the vector x, draw the vector compute and draw the vector y.

Q: TUESDAY: Plot the following coordinates on the plane. E = (3,2) F = (7,9) G = (10,3) H = (5,7) %3D…

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Q: B= (31) C= (45) ở A= (41) Then the transpose of A (i.e. AT) = %3D

A: Given that: A=3641

Q: Parallelogram ABCD has diagonals AC and BD that intersect at point E as shown. Which of the…

A: Given that:

Q: y = x x², x = 0, x = 2, y = 0, about the ï — axis is 27 units³

A: We have to solve given problems:

Q: 2 1- -3 -2 -1 B. -1 -2 The midpoint of AB = ([ ? ], [ ]) %3D Enter 3. 2. A.

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Q: The vectors a, b and c have been graphed below. Plot the result of a + b+c on the same axes. 3.

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Q: Draw the coordinate axes relative to u and v and locate w.

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Q: What is the component form of the vector represented by 2a when a (-23)7

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Q: Express the following points in Cartesian coordinates: (i) P(I, 60°, 2); and (ii) Q(2, 90°, -4).

A: If the coordinate is in cylindrical coordinate, r,θ,z, then the rectangular coordinate is:…

Q: Use the figure to find the specified vector. Find -a. .. -10-8 -6 t2 4 x0T. 8.9 ...

A: We have to find -a.

Q: Consider the figure below. If AABC is translated using the vector (x, y) → (x - 3, y+3), then…

A: In the given triangle ABC, the x coordinate of C is (-4,1) Given  (x,y)->(x-3, y+3) Use the above…

Q: The midpoint of \overline{\text{AB}}AB is M(0, -4)M(0,−4). If the coordinates of AA are (-8,…

A: Given Data: The midpoint of AB¯ is: Mxm, ym=M0, -4 The coordinates of A is: Axa, ya=A-8, -7 Let The…

Q: Rotate triangle EFG 180° counterclockwise about the origin and label the image

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Q: How can you easily find the coordinates of R? Explain your thinking AND provide your answer. R 70°…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Options are: Is meaningless is equal to 0 is equal to 1  is equal to 4 equals the zero vector

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Q: Architecture In the fire escape, mz1 = (17x+ 9)", m2 (14x + 18)°, and x 3. Show that the two…

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Q: the y-axis direction

A: Given: f(x, y)=ex lny5 at point (x, y, z)=( ln2, 5e, 2) To find: The slope in the y direction.

Q: The cartesian form of i is V3 土 2 -10 10

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Q: Draw the coordinate axes relative to u and v and locate w.

A: Given: u=−21,v=2−2,  w=−u−2v

Q: How can you easily find the coordinates of R? Explain your thinking AND provide your answer. R 70°…

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Q: Let a e R" be fixed. Suppose that vectors x, y e R" are related by the equation а — х+ (х-у)у. a)…

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Q: Use the graph below to write vectors a, b, c, and d as a linear combination of u and v 2v W 2v y n-

A: The given diagram shows the shear transformation of the cartesian plane. You can consider the blue…

Q: Determine whether x2 + 4y2 = 16 is symmetric respect to the x-axis, the y-axis, and/or the origin.

A: x2+4y2=16 Replace x by -x, we get ⇒-x2+4y2=16⇒x2+4y2=16 It is same as original equation. Therefore…

Q: Which properties does the relationship "is perpendicular to" satisfy? reflexive O symmetric…

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Q: SHORT ANSWER. Use the vectors v, u, w, and z to draw the indicated vector. 11) u + z

A: We have given some vectors, we have to discuss about the direction of addition and subtraction of…

Q: Wally modeled a window with FGHJ. For what values of x and y is FGHJ a parallelogram? F= (4y + 7)…

A: Solution:-   Given:-F=4y+7G=8x-15J=6x+7H=5y-18The opposite sides of a parallelogramare congruent .…

Q: Write the vector and Cartesian (standard) equation of the line, given a point and slope below.…

A: Definition used -    Vector equation of a line -                 r=a+λd      Cartesian equation of a…

Q: Q2. ()- Work out a - 2b as a column vector.

A: Given

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: Look at this diagram: W Which diagram shows quadrilateral UVWX rotated 120° counterclockwise about…

A: topic - rotations

Q: [o 2B Determine the value of a, ß,y when a B -y is orthogonal. a -B

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: R: Is A= ("2 ) diagonalizable? %3D 4

A: We have, A = 11-24. We know that a matrix is diagonalizable if and only if for each eigenvalue the…

Q: Test for symmetry with respect to the x-axis and the y-axis.x2 + y2 = 16

A: The graph of x2+y2=16 is shown below It is a circle with origin as center, and radius 4.

Q: [o 2B y Determine the value of a,ß,y when | a B -y is orthogonal. La -B y

A: If matrix A is orthogonal then .

Q: Q4. For what value of k , the vectors, v (9, k), v2 = (-3,4) are linearly dependent. Solution:

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Q: What is the direction of the vector (8, -7)? A 41.19° B 138.81° с 221.19° D 318.81°

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Q: TRY THIS!!! 1. Reflect the triangle with vertices: A(-1,-3), B(-1,2), & C(2,–3) over the x – axis.…

A: 0

Q: Q3. Find the cross product of the vectors and .

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Q: Consider the figure below. If AABC is translated using the vector (x, y) → (a-3, y+3), then rotated…

A: Given, Here x,y→x-3,y+3 and then rotated 180° about the origin.

Q: 8. ABCDEF is a regular hexagon with AB, representing the vector m and AF, the vector n. Find the…

A: Given that: AB→ is representing the vector m and AF→ is representing vector n.

Q: Q1/A/ Let u=5i –j+k, v=j-5k, w =-15i+3j-3k. Which vectors, if any, are a) Perpendicular? b)…

A: find the dot product of u and v if the dot product is zero then vectors must be perpendicular. the…

Q: Illustrate with an example and a diagram why a+b=6+a¯ for all vectors a and 6

A: Vector addition

Q: %3D D 3.Write the image points for r (180",0) (ABCD) = AIBICIDI. A'( B' (

A: Rule: When we rotate a figure through180 degrees about the origin either in the clockwise or…

Q: -6 --5 Let z = and y . Find the vectors v = 47, ủ =i + ÿ, and w = 47 + y. w = || ||

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Q: a/(a + 3) x af а.) b.) (ā - 5)7

A: Recall if you can: Dot product of two vectors is a scalar A scalar times a vector is still a vector…

Q: Write the vector form of the line 4x-2y=3. Use this vector form only, and then plot the line

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Q: (c) How do you tell if two planes are parallel?

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Q: In the following diagram, the rectangle ACEG is divided into four congruent rectangles. F E a) List…

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Q: a) Find r and r b for the vector 4

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

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.