a) Show that the lines х — 3 у — 2 x + 1 у — 2 z - 5 аnd %D 2 Intersects and find the point of intersection. -1 -3 2 -3

Q: 8. Determine whether the lines L,and L2 are parallel, skew or intersecting. If they intersect find…

A: Given data: The expression for the first line is L1: x=3+2t, y=4-t, z=1+3t. The expression for the…

Q: Given two lines in space, either they are parallel or they intersect each other or they are skew? If…

A: Standard form of the equation of the line is (a+bt,c+dt,e+ft), where t is a parametric variable and…

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A:

Q: If the straight lines ax+by+c=0, bx+xy+a=0, cx+ay+b=0 are concurrent, then prove a'+b³+c³=3abc

A:

Q: Show that the lines having the equations 4x – 3y + 12 = 0 and 8x – 6y + 15 = 0 are parallel.

A: According to question,Given equation of lines,4x - 3y +12 = 08x - 6y +15 =0

Q: Consider two lines: l1(t)=⟨6+4t, 8−2t, 2+6t⟩ & l2(t)=⟨1+4t,3−2t,4+5t⟩ a)  Do they intersect? If…

A:

Q: Find the value of z that makes lines u and v parallel. 6x-3 117 O -5

A: We know that when two lines are crossed by another line (called the Transversal), the pairs of…

Q: The lines y = 2x - 1 and y = ax + 2 are perpendicular ifa = _______.

A:

Q: 37. Find k if the lines 4x – ky = 6 and 6x + 3y + 2 = 0 are parallel

A: Given : 4x - ky = 6 6x + 3y + 2 = 0 Lines are parallel.

Q: 17 Find the coordinates of B if B is halfway between AC and C is halfway between AD

A: Given: A (-4, -5) D (6, 11) C is the midpoint of AD and B is the midpoint of AC So, for midpoint C:…

Q: 3. Show that the lines L1 : x = 2+t, y= 2+3t, z = 3+t and L2:1 = 2+t, y= 3+ 4t, z = 4 + 2t…

A: L1: x =2+t , y= 2+3t , z= 3+t  L2: x =2+t , y= 3+4t , z= 3+t

Q: 17. In parallelogram ABCD, if ED = 7x-213 and BD = 16x- 38, find BD. %3D B. C

A: Property of parallelogram:   The diagonals of parallelogram bisect each other. (17).  Using this…

Q: given the four points a(-3 5) b(1 13) c(4 2) and d(10 5) are ab and cd parallel ?

A:

Q: A homeowner is building three steps leading to a deck, as modeled by the diagram below. All three…

A: As per bartleby guidelines only 1 question is answered, please upload the rest separately. It is…

Q: 3-Find the real length of the line AB if A(4 , 2 , -1) and B(1,3, -5). * O 5 cm O 5.5 cm 5.3 cm

A: Distance formula: The distance between two points (x1,y1,z1) and (x2,y2,z2) is:…

Q: in m imz1 = 7x and mz2 = 5x + 30, lines m and n are parallel when x equals %3D А. 12.5 15 C. 87.5 D.…

A: Since m and n are parallel lines therefore, ∠1=∠2       alternates angles

Q: Given A(1, 7), B(8, 4), and C(3, 10), which coordinate pair will make line AB parallel to line CD ?

A: If two lines are parallel then its slopes are equal. first we need to find slope of AB y2-y1x2-x1let…

Q: If A, B, C and C`are constants, show that: (a) the lines: Ах + By + C%3 0 Ах + By + C' 3 0 are…

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Q: 3. Show that the lines L :1 = 2+t, y = 2+3t, 2 = 3+t and La :1 = 2+t, y = 3+ 4t, 2 = 4+ 2t…

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Q: Find the value of a that makes lines u and v parallel. 125 + x x+65 O -5 O 12

A: Solution

Q: 4) 3. Find either angle between the lines described by 2 y = x + 3 and -3x + y + 18 = 0

A: Angle between the lines θ=tan-1m1-m21+m1m2 m1 and m2 are the slope of the lines let the line l1:…

Q: Three or more lines are _____ if theey all intersect at only one point a. Intersecting b. Parallelc.…

A: Three or more lines are concurrent if they all intersect at only one point.

Q: Given that AD and BC are parallel and m25 -(9x -7)° and m/2 (3x + 7)°, find the value of x. %3D…

A: By using properties of parallelogram we can easily find the relationship between all angles…

Q: Given: line a || line b. If m3 2x + 10 and mZ5 5x 40, then m25 %3D |3D 3 4 5 6 7 8 30* O 110" O 150*…

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Q: L1:x = 1+ 2t, L2:x = 2 – s, y = -1 - t, y = 3s, z = 3t, z = 1+ s, -00 <t< 0 -00 <t< 0

A:

Q: If given points A at (6, 3) and B at (-1, 4), determine AB V74 5/2 C 2/5 D V26 B.

A: If given points A at (6,3)  and B at (-1,4) determine AB

Q: → → If m= (2. 1. 5) and n = (3. 0. x) are perpendicular, then the value of x is

A: Solve the following

Q: Determine whether the lines L1: (−2, −1) and L2: (1, 3), (5, −5) passing through the pairs of points…

A: Since, we have been given that two lines are L1: (-2,-1), (1,5) and L2: (1,3) , (5,-5). Our Aim is…

Q: Which of the lines x – y + 3 = 0 and x – 4y –7= 0 is father from the origin? -

A: Consider the provided question, Hello. Since your question has multiple parts, we will solve first…

Q: The value of p, so that the lines 17-14 = 3 2p 22 and 2-5 72 3p 1 = intersect at right angle, is…

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Q: Determine if the following lines are intersecting, parallel, or skew. Line 1: x=1, y = 21+1, z = 31…

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Q: Find a perpendicular line that passes through the given point (6, 4); y = 3x- 2 %3D O y= 1/3 x-6 O y…

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Q: I need help with this question

A: Determine whether the lines of symmetric equations are parallel, perpendicular or skew.

Q: Find the equation of one of the angle bisectors of lines l and m such that 2 %3D -2 = 8 guenfT onal…

A: If the equation of line in Cartesian form is x-x1a=y-y1b=z-z1c=λ then its vector form is…

Q: If you were to pick any side in a rectangle, it would always be parallel to its opposite side! O…

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Q: 5. Determine whether the following pairs of lines are parallel, perpendicular, or neither. y = 2x +…

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Q: Given the two 3D lines 71 = +2 72 = +μ Check whether or not they intersect, and if they do state the…

A: Intersection of two lines

Q: Determine whether the lines L, and L, are parallel, skew, or intersecting. х — 1 y - 2 z - 12 %3D 1…

A: Given problem :-     To find:-  Intersection point of given lines

Q: 2- The line perpendicular to the triangular (PQR) and through the point (P) if P(1,-1,2), Q(0,3,1),…

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Q: Find k so that the line through (3, 2) and (k, 3) is a. parallel to 25x + 17y = 34, b. perpendicular…

A: We will be using the following concepts: Parallel lines have the same slope. The product of slope…

Q: Show that the lines with symmetric equations L1 : = = and L2 : 팡!%3D 부 =D 촬 %3D y-3 are skew.

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Q: Suppose the symmetric equations of lines l, and l2 are = 2 – y = z and x = -1, = respectively.

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Q: 4-Sy. dA, where R is the parallelogram enclosed by the lines x- Sy - 0, x- Sy 9, 4x-y 1, and x- y=7…

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Q: Find the equaation of the pair of lines intersecting ar (2,-1) parallel to the pair 6x2-13xy-5y2=0

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Q: 12) Use the scenario and elimination by multiplication to answer the question. What are the…

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Q: What is the point of intersection, P(x, y) of the following lines: 5x + 2y = 4 and -2x + y = 11. x =…

A:

Q: Determine whether the lines Li :x = 10 + 2t, y= 3+t, z = 12 + 3t and L2 : x = -2 + 3s y = -6+ 3s z =…

A: The objective is to determine whether the given lines intersect, are skew, or are parallel. Given…

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

A: Given plot is, We need to find the co-ordinates of x and y for Rome from the given plot.

Q: Given the four points A(-3,5), B(1,13), C(4, 2) and D(10, 5) are AB and CD parallel? Justify.

A: In the given question we have to prove that line  AB || CD where A(-3,5), B(1,13), C(4,2), D(10,5)

Q: 46. If the lines a¡x + b¡y = c1 and a2x + b2y = c2 are %3D parallel, what can you say about the…

A: Topic:- parallel lines