Graph each figure and its image under the translation along the given vector. Give the coordinates of the image. 6. Triangle SKY with vertices S(-6, -5), K(-1, -2), and Y(-4, -7): (0, 7) 7. Square PORS with vertices P(3, -1), Q(8. -2), R(7. -7), and S(2, -6): (-2, 3) P'L. S' (L) Q'LJ K' (L) R'(_ Y'L) S'L 11

Q: For each line state the required value or vector: a) = (2,-3) + t(4,-5),t ER direction vector (m): .…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Given the points A(-8, 2, 3) and B(-8, 2, -4). Question 3 b) Find the intersection of the line…

A: Question 3.The given points A-8,2,3 and B-8,2,-4.

Q: A yacht sets off from the port in Abu Dhabi and travels 350 km at 145' towards the Persian Gulf and…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: we consider the equations of a line in symmetricform, when a = 0, b = 0, c = 0.x − x0/a = y − y0/b =…

A: Given, Point P0(-2,3,3) with direction vector, v=(2,4,3)

Q: Given the points D(-8, 7) and C(2, –6), determine the position vector of CD.

A: The given points are C2,-6 & D-8,7. For the position vector CD→, the initial point is C while…

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: 1. Reflect the point (2, -4) over the y- axis. O a) (-4, 2) O b) (-2, 4) O c) (-2, -4) O d) (2, 4)

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Q: -5- -10 -10 y 10 y 10 5 -10 -5 10 - 10 -5 10 -5- - 10 -10 (b) Find the length and direction of u.…

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

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: Given that point 2,6,-8   and vector or line ,n=jTo  find : equation of plane Solution :Direction of…

Q: Find the direction vector of the line joining the points (a) A(7, 6) and B(-2,5), (b) with position…

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Q: Determine whether or not the following pair of vectors are parallel, perpendicular or neither. a)…

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Q: Which of the following coordinates exists on the line y = 3x+ 1? А. (2, 6) В. (-1, -2) С. (3,4) D.…

A: Solution is B) (-1,-2)

Q: Which of the following pairs of vectors are perpendicular to each other? a) (4, 14, -18) and (6, 21,…

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Q: 2. Use the given equation of a line to find a point on the line and a vector parallel to the line.…

A: Given query is to find the point and the parallel vector.

Q: 2. Use the given equation of a line to find a point on the line and a vector parallel to the line.…

A: topic - point and vector parallel to line

Q: 2. Use the given equation of a line to find a point on the line and a vector parallel to the line.…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: For the points P = (- 4, 3) and Q = (5, - 1) write the vector v represented by the directed line…

A: For the points P = (- 4, 3) and Q = (5, - 1) Now we find vector V represented by the directed line…

Q: Graph each figure and its image along the given vector. List the coordinates of the image. 1.…

A: Note-  (As you asked multiple subparts , According to our guidelines we will answer only first 3…

Q: Sketch a graph of each vector. 11) b=(-2V2,-1) 12) RS where R= (-6, 1) S= (-8,-10)

A: Solution (11.)

Q: If ||v|| - 10 and 0 = 120°, find the component form of the vector. O O O O

A: We have to find vector components

Q: If the line through the point (3.-4,-1) and parallel to the vector i+j+k. The equation of the line…

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Q: If the line through the point (3,-4,-1) and parallel to the vector i+j+k. The equation of the line…

A: We can answer the question as false or true as below

Q: If u =(3, 3), v=( 13. -7), and 2w +3u-v= (4,-4) then what is the coordinate of vector w?

A: Since u=(3,3), we have u→=3i→+3j→ Also, since v=(13,-7), we have v→=13i→-7j→ Let w=xi→+yj→ Given…

Q: Below is a diagram of the dotted cube with edges of length 3. Suppose vectors u = (3,0, 0), v = (0,…

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Q: Graph each figure and its image under the translation along the given vector. Give the coordinates…

A: Solution -  Since it was not specified that along which line we have to give the mirror coordinates.…

Q: Given three points P (1, 4, 6), Q (-2, 5, -1)  and R (1,  -1, 1) Find a vector perpendicular to the…

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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: Graph each figure and its image along the given vector. a. AABC with vertices A(2, 6), B(1, 1), and…

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Q: Graph each figure and its image under the translation along the given vector. Give the coordinates…

A: P=(3,1) Q=(8,-2) R=(7,-7) S=(2,-6) Transpose Vector= (-2,3) P'=(3-2,1+3)=(1,4) Q'=(8-2,-2+3)=(6,1)…

Q: Q:2) Find a vector that is parallel to the line whose equation is 5x-4 4-2z = 3 - 6y = 7 5

A: The given problem is to find the vector that is parallel to given parametric line equation, we have…

Q: The direction vector of the equation below is : c=−2+3t y = 3+2t O [3, -2] O [3, 2] O [2, 3] O 1-2,…

A:

Q: For the line that contains the points P(-1, 2, 4) and P2(3, 4, 7), find a) a direction vector. b) an…

A: The line contains the points P1-1, 2, 4  and  P23, 4, 7. a). Direction vector is, P1P2→=3--1, 4-2,…

Q: Match the vectors p, q, r, 8, and t with one of the combinations of the i and vectors from the…

A: We have to match

Q: Which of the following vectors is shown in the graph below? ++ O f2.1.4) O 2-1,-4)

A:

Q: For the line €: (x, y, z) = (5, - 3, 2) + n(1, 2, - 2), find a) a point of the line. b) a direction…

A: Given parametric equation of line - x, y, z = 5,-3, 2+n1, 2,-2x, y, z = 5,-3, 2+1n, 2n,-2nx, y, z =…

Q: 16 4 2 -6 -4 -2 2 4 -2 -4

A: topic - relection of point about y=1 C'(2,4)

Q: Match the vectors p,7,ï, 3, and t with one of the combinations of the i and i vectors from the…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: The vectors a (4, -10,8) is perpendicular to the vector b (8,-8, -14). Select one: True False

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

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Q: Find the vector form of the equation of the line in R2 that passes through P = (2, -1) and is…

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Q: For the line €: (x, y, z) = (2, 3, 4) + n(3, - 2, 5), find a) a point of the line. b) a direction…

A: the given line is: l:x,y,z=2,3,4+n3,-2,5 we have to find: (a) a point of the line. (b) a direction…

Q: Given the two points A(1,2,3) and B(2,-3,4) which of the following is the vector equation passing…

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Q: Find the vector equation of the line (d) through (6, −3) and parallel to the line through (5, −1)…

A: First, we find the slope of the line  through (5, −1) and (2, 11) Direction vector is=(2, 11)-(5,…

Q: Find the vector form of the equation of the line in R2 that passes through P= (2, - 1) and is…

A: If a line is parallel to another line, then they have same slope.

Q: Find the z-coordinate of the foot of the perpendicular from A(1, 1, 1) on the line joining B(1, 4,…

A: We will solve the problem.

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.