x = 1+2t Determine the distance between the lines L₁ y=-1-t, tЄR • z = 3t and L2: T = (1, 2, 3 1, 2, 3) + s(3, 2, 4 + 8(3, SER. Input the ,

Q: Specify m to distance from point M (1;0) to the lines (Δ):4x+3y+m= 0 by 2.

A: Please see the below picture for detailed solution.

Q: Calculate the equation of the line that passes through the point (0, 1, 2) that is parallel to the…

A: We need to find the equation of the line passing through a point, parallel to a plane and…

Q: the distance between the two skew lines L and L2. L: x=3+3t, y=-1-4t, z=4+2t. L2: x=6+5p, y=3-p,…

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Q: only part b

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Q: • r : (x, Y, z) = (7, 8, 2) + X(-3, –8, 2) %3D 7 – x y – 8 - x y – 8 2 – z • S : -7 -6 4

A: Given query is to find the angle between two line.

Q: 24 The line y = x - 10 intersects the curve x² + y² + 4x + 6y - 40 = 0 at the points A and B. Find…

A: Consider the given equation of curve, x2+y2+4x+6y-40=0 It is given that the line y=x-10 intersects…

Q: Find the distance from the point (- 2, – 8, – 6) to the line a(t) (5, 3, 2)t + (– 6, 6, – 5). |

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Q: Si -x- 2y - 3x + y R - x - 2y = 0, - x - 2y = 9, Find -dA, where R is the parallelogram enclosed by…

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

A: Explanation of the answer is as follows

Q: Evaluate ▼ (x² y + x y z²) ·dr where C is the line segment from ( 1, – 1,0) to (2,1,3 Select one: a.…

A: Given integral is

Q: Find the acute angles between the lines y = √3x - 1, y = -√3x + 2 Find the length and direction…

A:

Q: Find the point of intersection of the lines x = t, y = -t + 2, z = t + 1, and x 2s + 2, y = s + 3, z…

A: we have to find the point of intersection of the given lines

Q: 11₁ X 4y -6x + 2y = 0, - 6x + 2y = 2, x - 4y = 1, x - 4y = 6 Find S -6x + 2y -dA, where R is the…

A: The Region R is given as , -6x+2y=0 , -6x+2y=2 , x-4y=1 , x-4y=6 find ∫∫R-6x+2yx-4ydA=?

Q: What is the relationship between the lines L1 and L2? where L:x = 1- 2t, y = 3+ 3t, z = 5+3t L2:x =…

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Q: y+1 O Determine the angle between the lines 7 – x = and 2æ – 9y + 7 = 0 [k2] -

A: Given that  The two lines are  To find the angle between the two lines

Q: Evaluate v (x? v + x y z²) · dr where C is the line segment from (1, – 1,0) to (2,1,3) | Select one:…

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Q: Find the distance from the point (-6,-2,0) to the line a(t) = ( – 1, – 2, – 5)t + (3, – 6, 6)

A: We  use the definitions

Q: 4x + 5y Find dA, where R is the parallelogram enclosed by the lines -x-2y 0, 4x + 5y 4, --2y 1, --2y…

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Q: J₁ - 6x + 6y Find -6x + 6y 4x + 3y 0, -dA, where R is the parallelogram enclosed by the lines - 6x +…

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Q: Find the line of intersection between the lines: +1 and +.

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Determine the exact distance between lines l1: 7 = (5,–3,7) + s(3,-2, 5) and l2: 7 = (2,-7,9) +…

A: Here both the lines are parallel.