Create 2 sets, one linearly independent and one linearly dependent, by replacing the x with a number, starting from B = { (1,2,-1,8), (-2,-1,4,2), (13,14,-21,x) }

Q: Find b such that (2, -1), (3, 2), and (b, 5) lie on a line.

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Q: Define the points A(4,1,-3),B(6,5,-8),c(-2,11,-1). Compute the following

A: First use distance formula then use cosine formula

Q: Show that the points (5,4,2) ,(6,2,-1) and (8,-2,-7) are collinear

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Q: Find a plane through the points (3,2,3), (4,-3,-3), (4,4,1)

A: The given points are: (3, 2, 3),  (4, -3, -3),  (4, 4, 1)

Q: 7. determine if the points (1, 3, 3), (3, -1, 5), (5, 2, 0), and (3, 3, 4) lie in the same plane.

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Q: Determine whether the points are collinear.(−1, −3), (−4, 7), (2, −13)

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Q: The set of all points on one side of a line is called a/an

A: Consider the given statement "The set of all points on one side of a line is called a half-plane".…

Q: Find a plane through the points (4,-3,-4), (-6,2,8), (3,-8,8)

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Q: Show that the three points (4, 2), (7, 5), (9, 4) lie on a right line.

A: Given points   Let A (4,2) , B (7,5) , C (9,4)

Q: (1, 3, 3), (3, -1, 5)

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Q: Find the length between each pair of points.20. (-1, 6) and (7, 2)

A: Formula used:Distance between two points A(x1, y1) and B(x2, y2) is

Q: Determine whether the points are coplanar.(−4, 1, 0), (0, 1, 2), (4, 3, −1), (0, 0, 1)

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Q: Determine whether the points are coplanar.(0, 0, −1), (0, −1, 0), (1, 1, 0), (2, 1, 2)

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Q: Find a plane through the points (-4,8,-8), (1,-5,-1), (-5,-1,5)

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Q: Determine whether the points (-1,4), (-1,-1), and (-1,-7) are collinear.

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find the midpoint of points (2,-7) and (-4,5) * O (0,0) O (1,-1) O (-1,-1) O (1,1)

A: Let's find.

Q: Enter the ordered pair for point A in the boxes. A 2- 1 -2. -1 2

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Q: Give the location of Paris as an ordered pair (x, y).

A: As shown in the figure above, Point A lies in the first quadrant, so coordinates will be A(a, b)…

Q: Here are two sets of ordered pairs: set 1: ((1, 5). (2, 5)) set 2: ((5, 1), (5, 2)}. In which set is…

A: set 1: 1,5,2,5set 2: 5,1,5,2

Q: Find a plane through the points (2,1,-2), (5,-4,4), (6,7,-4)

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Q: Determine whether the three points are collinear. 5) (-2,6), (6, 4), (-10, 8)

A: As per our norms we have to write one question at a time kindly repost remaining questions

Q: Find a plane through the points (1,-4,1), (-8,-8,3), (2,-3,-5)

A: NOTE: Refresh your page if you can't see any equations. . given points are

Q: The set of all points on one side of a line is called a/an________ .

A: The set of all points on one side of a line is called a/an________ .

Q: Do the points (1, 5, −7), (1, 7, −10), and (1, 8, −13) lie on the sameline?

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Q: Write as a line ar Combination of V, ,Vz,V3 where V= (1,5,4) ,V, =(1,3,-2),Vz=(2,7,-1) Vz=(1,6,7)

A: The given vectors are: v=1, 5, 4, v1=1, 3, -2, v2=2, 7, -1 and v3=1, 6, 7 Write the vector v as a…

Q: Find the best-fit line associated with the set of points. (1, 5) (3, 14), (5, 24), (7, 0) O y = 2.0x…

A: Consider that x is the independent variable and y is the dependent variable. The size of the…

Q: Are the following  points collinear    -8,12  3,5 and  25,-9

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Q: Determine if (3, -1, 4) is a linear combination of (1, -1, 0), (0, 1, 1) and (3, -5, -2)

A: A linear combination is very significant in linear algebra. When some given vectors are multiplied…

Q: What is the center of {0.1, 0.3, 0.02, 0.09, 0.4, 0.05, 0.26}?

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Q: Find the distance between m [-2, 3, 2,0,3, – 13, –5] and n = [4, –1,1, –5, 0, 11, –3].

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Q: Determine whether the points are coplanar.(1, 2, 3), (−1, 0, 1), (0, −2, −5), (2, 6, 11)

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Q: Determine the new order pairs if the points are reflected across the y- axis. J(2, 2), K(7, 4), L(9,…

A: Given- J2,2,K7,4,L9,-2 and M3,-1 To determine-  The new order pairs if the points are the reflected…

Q: Show that the set S= {(20, 34), (40, 68)} is linearly independent or not?

A: Given set is S= {(20, 34), (40, 68)}

Q: Enter the ordered pair for point A in the boxes. A 1. -2 1 2 -2-

A: See from the graph that, point A is located at 1.5 units left from the y axis. Thus, x coordinate of…

Q: Determine whether the points are collinear. (Three points are collinear if they lie on the same…

A: We have to determine whether the given points are collinear or not: 0, 4, 7, -6, -5, 11 We know that…

Q: Determine whether the points are coplanar. (-4, –4, –4), (4, -1,-4),(-4,–1,–-4).

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Q: Suppose the solution set of a certain system of linear equations can be described as x, = 4+4x3, X,…

A: Geometrically, the solution set is a line through (4, -5, 0) parallel to (4, -7, 1) The detailed…

Q: Determine whether the points are collinear. (4, 12), (-4, -20), (-2, –16) O collinear O not…

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Q: Show that the points (5,4,2),(6,2,-1) and (8,-2,-7) are collinear

A: The points are A(5, 4, 2), B(6, 2, -1) and C(8, -2, -7) The points are collinear if the directional…

Q: Determine whether the points (-6, 5), (1, 7), and (16, 10) are collinear.

A: Given: -6,5, 1,7  and 16,10 Concept Used: Three points are collinear if area of triangle is zero.…

Q: Find the slop of the line that goes through the given points. (-2,8 ), ( 4,3 )

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Q: Find a plane through the points (3,4,-1), (-6,-7,-1), (8,1,6)

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

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Q: Find the midpoint between the two points. 17. (1,1), (5,5) 19. (3,0), (5,-4) 21. (0,-5), (3,-2

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Q: Find a plane through the points (-8,8,3), (-7,8,-2), (7,1,-5)

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Q: Find a plane through the points (4,3,3), (-4,-6,3), (1,-2,7)

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Q: Find two values of k such that the points (-3, 4), (0, k), and (k, 10) arecollinear.

A: To Find: Two values of k such that the points -3,4, 0,k and k,10 are collinear. Concept: Slope…

Q: Here are two sets of ordered pairs: set 1: {(1, 5), (2, 5)} set 2: {(5, 1), (5, 2)}. In which set is…

A: Given two sets of ordered pairs, Set 1: {(1,5),(2,5)} Set 2: {(5,1),(5,2)}

Q: How can you say that the points (1, – 5),(3, – 2),(7,4) ar collinear

A: Co-ordinate Geometry Question

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.