Show that the lines given by the following equations are parallel: L: 2x + 3y = 6, L2: 4x + 6y = 0

Q: Verify that the two lines are parallel and find the distance between the lines. L1:   x = 2 − t,   y…

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Q: (a) Determine whether the lines given by the symmetric equations I - 1 y – 2 z- 3 3 4 and I+1 y – 3…

A: As per bartleby guidelines for more than one question, only 1st one is to be answered. Please upload…

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…

Q: Determine if the given lines are parallel, skew, or intersecting? L:x = 2t+ 1, y = 3 t + 2, z = 4 t…

A: Given lines are L1: x=2t+1 , y=3t+2 , z=4t+3   and                          L2 : x=6t-1 , y=-t+3 ,…

Q: If line I is parallel to line m, find the value of y. (9y+ 2), k (4x) (11r-8)° j

A: In the question it is asked to calculate the value of y for the given diagram below.

Q: Verify that the lines are parallel, and find the distance between them L1: x = 2 - t, y= 3 + 4t, z =…

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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: Which of the following equations represents a line that is perpendicular to y = -2x+4 and passes…

A: Given, A line passes through the point 4, 2  and is perpendicular to the line   y =-2x+4 We have to…

Q: Which of the following pairs of lines are perpendicular? Select all that apply.

A: For equation of line :y=mx+c slope = m   if two lines are perpendicular then  multiplication of…

Q: Consider the lines defined by the equations {3 : a – 3 = y – 5 = z – 6 and 4(s) = (-2 – 2s, –2s,6 –…

A: Given lines are: l3: x-3=y-5=z-6 l4→s: -2-2s, -2s, 6-2s   We compare l3: x-3=y-5=z-6 or l3:…

Q: 17. Is the line x = 21 - 1, y = -3t, t e R perpendicular to the line shown below? y 4. 3 2 + -5 -4…

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Q: Determine whether the lines h and I, intersect, are parallel, or are skew. 1: n= 4i+3j+ (i-j+6k) 12:…

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Q: Show that the lines whose direction cosines are given by l+m+n=0,2mn+3nl-5lm=0 are perpendicular to…

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Q: Determine whether the given lines are parallel x = 3+ 2t 5 – 4t y = 2-t 1+ 3t 6+ 2t || y = %3D 2 6t…

A: To determine whether the below linear are parallel or not. x=3+2ty=2−tz=1+3t; x=5−4ty=6+2tz=2−6t

Q: Find the value of p for which the lines 2x+3y-7=0 and 4y-px-12=0 are perpendicular to each other

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Q: 12 The lines whose equations are 2x + 3y = 4 and y = mx + 6 will be perpendicular when m is %3D 1)을…

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Q: Find the equation of the line that goes through the point (4, –3) and, relative to the line 1 1 2*+…

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Q: Determine if the following statement is true or false. The lines L1 and L2 are skew. L:x = 10 + 3t,…

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Q: Determine whether the lines L1 and L2 are parallel, skew, or intersecting. L1: x = 6 + 4t, y = 8 -…

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Q: Show that the two lines メ=I+4と X = 2+8t and 9= 5-4t Z: -1+ SE 3= 4- 36 2: 5+t skew Rind the distance…

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Q: Consider the lines defined by the equations (3 : z – 3 = y – 5 = z – 6 and l4(s) = (-2 – 2s, –2s, 6…

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Q: Show that the lines given by the following equations are parallel. L1: 2x + 3y = 6 L2: 4x + 6y = 0

A: Given: L1: 2x+3y=6L2: 4x+6y=0 Concept Used: Parallel lines have equal slope.

Q: Determine whether the lines L1:(x−22)/7=(y−17)/7=(z−19)/7 and L2:(x+15)/8=(y+22)/9=(z+22)/10…

A: NOTE: Refresh your page if you can't see any equations. . the first line is  write the given line…

Q: Let /, be the line described by the Cartesian equations • x= 1 • y-9 = 2(z-5) Let lz be the line…

A: To find the distance between two given lines we need to consider general point on each line. Minimum…

Q: x – 7y dA, where R is the parallelogram enclosed by the lines x - 7y = 0, x – 7y = 9, 5x – y = 2,…

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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: Which of the following is perpendicular to the line x/2 + y/4 = 1? 4х - 2у — 5 %3D0 4x — Зу +9%3D 0…

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Q: determine whether the lines x = p + su and x = q + tv intersect and, if they do, find their point of…

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Q: Show that the lines d1: (7x-15)/ 2 = (7y+34)/ -5 = z/1 and d2: x/1 = (y+1)/-1 = (z+3)/-1 are…

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Q: Show that if a, b≠0, then the line with x-intercept x = a and y-intercept y = b has equation…

A: Given: x-intercept=ay-intercept=ba, b≠0 To Find:  To show the equation of the given line isxa+yb=1

Q: Determine if the lines intersect, or are skew, or are parallel. L1: x = 4+ 2t, y = -5+ 4t, z =1+3t…

A: We will find whether the lines intersect, or are skew ,or are parallel as following.

Q: Question 6 Which best describes the lines 3y + 1 = 6x + 4 and 2y + 1 = x - 9? А identical B neither…

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Q: Determine whether the lines given by the symmetric equations x - 1 y - 2 z - 3 %3D 2 3 4 and x +1 y…

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Q: 5x 2x (5x + 40)°

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Q: Given two lines L¡ and L2 3+t 4+ 2s L1 : y 1– 2t and L2: Y 6+ 3s 3+ 3t 1+s They intersect at (a, b,…

A: We have to find a,b,c

Q: Find the value of p for which the lines 2x+3y-7=0 and 4y-px-12=0 is perpendicular to each other

A: 2x+3y-7 =0 ...... (i) y = (-2/3)x +7/3  -PX+4y-12=0 ........(ii) y =(p/4)x  +3

Q: 29. L1: y = 2x - 3 1 La: y = -デx - +1

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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: Consider the two lines  L1 : x=-2t, y=1+2t, z=3t L2 : x=-8+4s, y=1+4s, z=5+s Find the point of…

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Q: Determine whether the given lines are parallel. y = 2x + 3 бх — Зу %3D 4 Yes, they are parallel. No,…

A: Explanation of the solution is given below...

Q: find the equation of a line given the conditions through (1,-6) parallel to x+2y=6

A: Given line :- x+2y=6 2y=-x+6y=-12x+3slope=-12

Q: Look at this diagram: W X. Y V If TV and WY are parallel lines and mTUX = 122 %3D

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Q: Which of the following represents two lines that are coplanar and do not intersect? (A Perpendicular…

A: Given that Two line that are coplanar and do not intersect

Q: determine whether the lines x = p + su and x = q + tv intersect and, if they do, find their point of…

A: Given: r=-i+2j+k+si+2j-k, r=2i+2j+t-i+j for finding point of intersection point of given lines, we…

Q: Which of the following lines passing through the point ( 2,1) ? • a. y=2x+1 • b. y+2x=4 ● c. 2y+x=4…

A: Substitute x=2 , y=1 in each of the equations and compare the left hand side and the right hand side…

Q: Show that the lines px + qy + r = 0 and P1x + q1y +r¡ = 0 are parallel or identical if and only if…

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Q: Which of the following lines is perpendicular to y= -5x-2? O y = 1/5x + 1/5 O y = 5x - 1 O y = -5x +…

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Q: Given these two lines: -1 a+3 6- a-5 Where do the two lines intersect? • Your answer must be a…

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