Find the intersection of the lines 2 x space plus space 3 y space equals space minus 7 and 3 x space minus space 2 y space equals space 9, if the intersection exists. If it does not exist, so state.

Q: Do the points (1, 0,−1), (0, 2, 3), (−2, 1, 1), and (4, 2, 3) lie in the same plane? Justify your…

A: To check: If the points (1, 0,−1), (0, 2, 3), (−2, 1, 1), and (4, 2, 3) lie in the same plane and…

Q: Q2: The plane is divided into a finite number of regions by drawing infinite straight lines in an…

A: Let n denote number of lines drawn on plane. We will prove the result with the help of mathematical…

Q: Which of the fallowing lines are parallel to line ur(3,0,1,5.2) O (3,0,-1,5, 2) O (6.0,-2,-10,4) O…

A: If we multiply any number to vector that are parallel vector

Q: Verify that the points (7, 12) and (11, 18) divide the line segment joining (3, 6) and (15, 24) into…

A: Given points are x1,y1=3,6x2,y2=7,12x3,y3=11,18x4,y4=15,24

Q: It is subset of a line that has two endpoints.a. Intersectionb. Line segmentc. Concurrentd. Ray

A: When the accumulation of points (or two points) ends with a specific length with two endpoints is…

Q: Show that the lines 2 x+3 y-1 and 6 x-12 y-1-0 are not perpendicular

A: As we know that, if the product of slope of two lines are (-1)  then both the both lines are…

Q: Determine the point of intersection of the lines. 4:[x, y, z]=[-3, 1, 4]+s[-1, 1, 4] (2:[x, y, z] =…

A: Let (a,b,c) denote the point of intersection So, For l1a=-3-s0b=1+s0c = 4+4s0For l2,a =…

Q: The line through (1, 2, 3) that is perpendicular to the lines x = 3 - 2t, y = 5 + 8t, z = 7 - 4t and…

A:

Q: Do the points (0.5, 1), (1, 1.2), (2, 2) lie on a line?

A: Three points will lie on same line if slope of any two point is same as other two points, taken two…

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: Determine whether the lines L1 and L2 passing through the pairs of points are parallel,…

A: Slope is basically the vertical or the horizontal change between two distinct points. In a graph,…

Q: Determine whether the statement " Two lines in space are either intersecting or parallel", is true…

A:

Q: would be on the perpendicular transversal if its

A: Given,        y=43x+13

Q: This

A:

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: Show that the lines 2 x+3 y-1 and 6 x-12 y-1=0 are not perpendicular

A:

Q: "The intersection of two planes is a line" is a statement that is generally accepted as true, but…

A: Since a Postulate is a statement which is assumed to be true without any proof.

Q: Construct a line parallel to a given line through a given external point. *

A: To draw a line parallel to the given line from the external point v.

Q: Determine the point of intersection of the lines γ1 : ¯r1(t) = ⟨3, 2, 1⟩ + t⟨1, 0, 1⟩ and γ2 :…

A: First let's suppose both line are intersecting each other so, r1 = r2 then solve for t and s.

Q: The intersection of plane A and plane S will be The intersection of lines n and k is W A x, Point X…

A: The intersection of two planes is a line. The intersection of 2 lines is a point The intersection of…

Q: Find the point of intersection, P, of the lines x - 3 y – 3 Z – 6 3 2 2 x – 2 y – 1 z – 7 - - - 4 4…

A:

Q: Find the intersection of the line through (0, 1) and (4.5, 2) and the line through (2.1, 3) and…

A: Obtain the equation of line through (0, 1) and (4.5, 2): y-1=2-14.5-0x-0y=14.5x+1y=29x+1 Obtain the…

Q: Find the intersection of the line through (0, 1) and (4.6, 2) and the line through (2.3, 3) and…

A: First compute the slope of the line passing through the points (0,1) and (4.6,2) as follows.

Q: Determine whether the lines L1 and L2 passing through the pairs of points are parallel,…

A: We know that two lines are parallel if their slopes are equal. Also, two lines are perpendicular to…

Q: The graph of the corresponding equation of a linear inequalityis a line that separates the xy-plane…

A: We have complete the missing word/words.

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: The maximum number of new vertical angles that are created when we add another line to a…

A: The maximum number of new vertical angles that are created in the given scenario are found below.

Q: Determine whether the lines L1: (0, −1), (5, 9) and L2: (0, 3), (4, 1) passing through the pairs of…

A: Given: Line L1 passes through 0, -1 and 5, 9.Line L2 passes through 0, 3 and 4, 1 To Find: To…

Q: Prove that for each point the are at least two straight lines that pass through it, accordir to the…

A: There is a point and we have to show that 2 or more lines can pass from that point.

Q: Prove without using the concept of duality: In the four-line geometry, there exists a pair of points…

A:

Q: 23. Determine if the following pairs of lines are parallel, perpendicular or neither. 2 y =-x+2 3. 3…

A:

Q: Determine whether the lines 2x + 5y =7 and 5x +2y =2 are perpendicular true or false

A: Compare the equations with standard equation  y=mx+c

Q: Put a point on the line. 12 -4- -8 -4 4 8. Type an (x,y) ordered pair to put a point on this line.

A: According to given graph:-

Q: Find a parallel line that passes through the given point (3, 4); y = 2x 7 O y = 2x +2 O y = 1/2x + 2…

A: We have to find

Q: Which is a subset of a line with one endpoint and extends infinitely in one direction?

A: A ray is a subset of a line that has only one endpoint and extends infinitely in one direction  If…

Q: Since a line segment is defined by two distinct points, therefore the total number of line segments…

A:

Q: 7) Determine whether the two lines = =2 and * z+2 are in parallel.

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Q: intersects at point j but do not all lie in

A: Here  we have to draw,  Three lines intersects at point j but do not all lie in the same place.

Q: 6. JaMarcus claims that (2,1) is the point of intersection of the lines y = 5x-3 and y=-4x+6. Is he…

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Q: If x and y are positive numbers with x > y, show that a triangle with sides of length 2xy, x2-y2,…

A:

Q: . Name five ways to prove that two lines are parallel.

A: Name five ways to prove that two lines are parallel.

Q: The three cevians in ΔABC are concurrent. What does concurrent mean with respect to lines?

A: Given that: Three cevians in ΔABC are concurrent.

Q: How far is the point (2, -3) from the line 3x - 4y +7 =0? O 5 O 4 O 6 O 7

A:

Q: Let l: = = -: - 5 and p = (1,7, -4) + A(1, -2, 2) be two lines in space.

A:

Q: show that the lines メ-2 = 3-2 モ-3 and %3D 9-3 X-2 = intersect. %3D 2 th

A: Here we will show that given lines are intersecting,

Q: suppose that l and m are two lines. then the number of points in l intersect m is either 0, 1, or…

A:

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.