Find A', the image of A(3, 5), after a translation with vector <-7, 4>. Group of answer choices (10, 1) (-10, -1) (-4, 9) (4, -9)

Q: Let v1 vector=[−4  h] and v2 vector =[−10   20]   (check image for reference) Then span(v1…

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Q: 3,0 on a coordinate plane

A: we have to plot (3,0) on a coordinate plane using graph we can plot (3,0) on coordinate plane as…

Q: Let L₁ be the line passing through the points Q₁-(-1.-3, 1) and Q₂-(-4,-6, 2). Find a value of k so…

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Q: What are the coordinates of P(23t/2)? А. (-1, 0) В. (1, 0) С. (0,1) D.(0,-1)

A: Solution

Q: Which of the points P = (-1,4,-7) and Q = (6,-1,5) is closest to the z-axis? OQ (6,-1,5) OQ (6,-1,0)…

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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: Find a non-zero vector that is orthogonal to (-7,6,5).   Separate your entries by commas, and…

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

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Q: There are four vectors (1,2,3), (1,-1,2), (2,4,6) and (2,6,c). If there is a condition in which the…

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Q: 15. Which is the component form of the vector shown? -2- * (1, 2) -4 (-5, -3) O (4,-7) O (7.-4)

A: This question is related to vectors, we will solve it using given information

Q: Let Is w a linear combination of the vectors V₁, V₂ and 3? choose 13 -14 -4 --[H], -- [5] -- [13] D…

A: Given that the vectors w=-146 , v1=5-4 ,  v2=-4-3 ,  v3=11 .

Q: Let Lz be the line passing through the point P-(10, 1. –10) with direction vector d--2, -2, 3]", and…

A: We will use formula for the shortest distance.

Q: plot the given pair on a cartesian plane {(1,1),(2,4),(3,7),(4,10),(5,13)}

A: The given pair of points are  A(1,1), B(2,4), C(3,7), D(4,10), E(5,13)

Q: Check that the space generated by the vectors (1, 3, 5), (1, 4, 3), (1, 1, 9) is equal to the space…

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Q: Find a vector perpendicular to (2, −1, 10) and (1, 2, −1)

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Q: Which of the following sets of vectors spans R^2?  A. {(1, 1), (–2, –2)} B. {(1, 1), (1, 2)} C.…

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Q: Find a direction vector for the line containing the points (-1, 5, 2) and the point (2, 3, - 1).

A: We have to find a direction vector for the line containing the points -1, 5, 2 and 2, 3, -1. We know…

Q: In R^3, consider the three points A(2, -1, 4), B(3, 4, -2) and C(-1, 2, 7). (a) By an appropriate…

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Q: Determine the new coordinates of the point (3,5) when the origin is moved to (2,4) by translation…

A: We have to find the point

Q: Find the vector needed to translate from point (4,1) to point (8,3). Translate (-1,2) by the same…

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Q: Find two vectors vj and 2 whose sum is (-2, -5), where is parallel to (-3, 4) while vz is…

A: Solution: The objective is to find the vectors

Q: Find a plane through the points (-7,7,-3), (1,-7,-8), (-2,-1,3)

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Q: Determine the angle, to the nearest degree, between the vectors = (5,3), b= (-1,–2)

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Q: Draw the vector within the unit cell (1.-2.-1

A: Given vector is (1,-2,-1). It can be written as, u⇀=i-2j-k. To draw the vector in the unit cell, we…

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.