Determine whether the lines h and I, intersect, are parallel, or are skew. 1: n= 4i+3j+ (i-j+6k) 12: r2 = 4i+3j+2k+12 (i - j-2k)

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: Q10)The two lines L1: x=3-2t, y=4+t ,z= 6-t and L2: x=5-4t, .y=-2+2t, z=7-2t are parallel

A: 10) The equation of the line x=3-2t t=x-3-2 y=4+t t=y-4 z=6-t t=z-6-1

Q: Show that the lines 2r + 3y = 1 and 6r - 4y -1=0 are perpendicular.

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Q: Find a and b such that the lines r1 = (1, 2, 1) + t(1, −1, 1)andr2 = (3, −1, 1) + t(a, b, −2) are…

A: Given: r1=1,2,1+t1,-1,1 r2=3,-1,1+ta,b,-2 r1 and r2are parallel only if a1=b-1=-21

Q: Determine whether the lines L1 and L2 are parallel, skew, or intersecting. L1: x = 3 - 12t, y = 7 +…

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Q: -) that passes through (-1,3) that is parallel to 2x – 5y = 1

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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: Suppose the symmetric equations of lines l1 and l2 are = 2 – y = z and x = -1, 2 3 espectively.

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Q: Find the shortest distance between the lines i-(i+2j+k) + 2(i-j+â)and 7= 2i - j-k + 4(2i + j+ 2k)

A: The equation of the given lines are r→=i^+2j^+k^+λi^-j^+k^r→=2i^-j^-k^+μ2i^+j^+2k^ It is known that…

Q: 11a) Are the two lines parallel? Show work 4 (3, 2) -30] 2. (5,-1) 【け1.-B12 2

A: Given: Co-ordinates of line l1=(-3,0) and (3,2) Co-ordinates of line l2=(-1,-3) and (5,-1)

Q: What value of x would prove that lines /and m are parallel? (5x + 3) (9x-33)

A: For lines l and m to be parallel, The sum of internal angles made by intersecting line is 180°.

Q: 3. Find the value of x when lines w and v are parallel. (4x-3)° 65° W

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Q: 3. The lines 2x + y = 6 and 8 – y = mx are parallel. Find the value of m.

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Q: 9) 7x+4 60° 1.

A: The figure is given by To evaluate: The value of x

Q: Are the lines = 7+12t, y = 12–10r, z = 1+2t, and.x = 6+13t, y = 8+2t, z = 10–5t parallel? O No O Yes

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Q: 2) Determine whether the lines 1: x = 1+ 2t, y = 3t, z = 2 – t and l2 : x = -1+ s, y = 4 + s, z…

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Q: Find the value of a that makes lines u and v parallel. 70° 14+12x v 10

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Q: What is the value of d that makes lines e and f parallel? 5(2d- 3)° e (6d + 11 + 2d)° 4,

A: For the lines e and f to be parallel 52d-3° and 6d+11+2d° must be equal since they are corresponding…

Q: z = 3 - t , z = 6 – 4t parallel.

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Q: 4. Determine whether the pair lines are equal, parallel but not equal, skew, or intersecting. L1:x =…

A: Given:      L1:  x=1-4s, y=3+s ,z=8-6s      L2: x=2+3t ,y=2t ,z=-1-3t   For Parallel test:…

Q: Find the value of x that makes lines u and v parallel. 8) 9) x+ 62 7x+4 125° 60

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Q: Find the point of intersection of the pair of lines if it exists. (If an answer does not exist,…

A: Solve the both equation

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

A: Solution

Q: Determine whether the lines are parallel, skew or intersect: -1+ 4t; z,= 2 -t l2: x= 3+2s, y,=2+ s,…

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Q: -62-y Find dA, where R is the parallelogram enclosed by the lines -3x +y R - 6x – y = 0, - 6x – y =…

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Q: Determine whether the lines L1 and L2 are parallel, skew, or intersecting. X - Y - 3 z - 2 %3D 3 х—…

A: Given that the two lines     L1: x/1 = (y - 1)/3 = (z - 2)/3    L2: (x - 3)/-3 = (y - 10)/-6 =…

Q: 9. Are the lines parallel, perpendicular or neither. Show work. 4. y3-x+2 3 3x+4y = 4 %3D

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Q: 4. Determine whether the pair lines are equal, parallel but not equal, skew, or intersecting. Lị:x =…

A: Recall: Given two lines  L1:  x1=a1+b1s  , y1=c1+d1s   , z1= e1+f1s  L2:  x2= a2+b2t  , y2=c2+d2t…

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: 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: 258. Are the lines of equations and x = −2+2t, y=-6, z = 2 + 6t x= -1 +t, y = 1+t, z=t, t€ R,…

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Q: E. Show that the lines 3x - 5y + 19 =0 and 10x + 6y -50 =10 are perpendicular and find their point…

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Q: 7. Are the lines 3x - y 6 and y 3x +5 parallel, perpendicular or neither? %3D Parallel O…

A: Given equations are 3x-y=6 and y=3x+5 For line equation 1 3x-y=6 3x=6+y y=3x-6 by comparing with…

Q: Determine if the lines ℓ1: x − 9 = −t, y + 4 = 3t, z − 9 = 3t and ℓ2: x − 1 = s, y − 4 = −s, z − 9…

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Q: Are the lines x = 7+11t, y = 11–61, z = 4–9t, and x = 3–12t, y = 7–t, z = 12–6t parallel? Yes O No

A: We have to check whether given line is parallel or not?

Q: Consider the two lines L1 : x= -2t, y= 1+2t, z= 3t and  L2 : x= -5+s, y= 1+4s, z= 1+5s find the…

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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: Determine the intercepts of each plane. a) [x, y, z] = [1, 8, 6] + s[1, –12, –12] + t[2, 4, -3]

A: As per policy, only the first question is answered as you have asked multiple questions asked in a…

Q: 10 X- 3y dA, where R is the parallelogram enclosed by the lines x - 3y = 0, x - 3y = 5, 8x - y = 5,…

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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: Which equation represents the perpendicular bisector of AB whose endpoints are A(3,6) and B(- 5,2)?…

A: NOTE: Refresh your page if you can't see any equations. . given points are the slope of the line…

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

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Q: how that the lines x- 7y – 22 =0, 3x+4y +9 = 0 and 7x + y – 54 = 0 form a right angled osceles…

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Q: Determine whether the lines L1 and L2 are parallel, skew, or intersecting. L1: x = 8 – 9t, y = 7 +…

A: Given :                  L1 :  x = 8 - 9t , y = 7 + 3t , z = 9 - 12t                  L2 :  x = 7…

Q: Select all of the lines that go through the point (2, 5). Oy = (r- 5) + 2 O y = 2x + 1 %3D

A: We have given point (2, 5) a) OPTION (A) y=x-52+2 If the point (2, 5) lies on the above line then it…

Q: What is the value of d that makes lines e and f parallel?

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Q: 11b) Are the two lines perpendicular? Show work y (+5,6) 4 (1, 3) (-5, 0) 4 (-1,-2) 6.

A: Given,

Q: 4:x 3+6r, y =-2+9t,: =1-12t and L:x=-1+4t, y 3+6,-8r

A: We are given L1: x=3+6t, y=-2+9t, z=1-12t. So, L1: x-36=y+29=z-1-12. Thus, a1=6, b1=9, c1=-12. We…

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

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