3. Evaluate ryde where C is the line sogment from (0,1) to (2, 2).

Q: (1) What is the relationship etween lines 11 and 12? where L:x = 2, y = 1+ 2t, z = 1+t L2:x = 4 -t,…

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Q: Evaluate the following line integral.

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Q: Given: [x, y,z ] = [1,−1,5]+t [3,4,7], determine • the symmetric equations for the line • If…

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Q: Is there a value for k that would make the line between the points (k,2) and (3,8) horizontal? If so…

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Q: This first assignment (shaking off the rust) will be a review of some of the basic relationships and…

A: We have to prove that given identity:

Q: t is the line that in ctly one point?

A: Introduction: A tangent to a circle is a straight line that intersects the circle only once. This is…

Q: Compute ye" ds where C is the line segment from (1, 2) to (4, 7).

A: We have to compute ∫Cyexds where C is the line segment from 1,2 to 4,7. We have, x-14-1=y-27-2=t

Q: 2. Evaluate S. 3x – 6y ds for C is the line segment from (6,0) to (6,6).

A: Solution

Q: Prove that given lines are skew. L1: [x, y, z] = [1, 3, 7] + t[–1, 1, 2] L2: [x, y, z] = [4, –2,…

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Q: al to the line given as :

A: Which of the following planes is normal to the line given as: x=2t+3, y=5t-7 , z=t-4

Q: Is there a value for k that would make the line between the points (k,2) and (3,8) vertical? If so,…

A: Given points K,2 and 3,8If the given line is vertical then the line is parallel to the y-axis…

Q: Let 1, y E R². Show that p:=y is the closest point on the line Span(y) to z.

A: Given, x,y ∈ R2 To show: p=x.yy.yy is the closest point on the line span y to x

Q: Write an indirect proof in paragraph form.

A: Given: m∠1≠m∠2

Q: 2. What is another name for line m?

A: Here we have write another name for line m by looking at the given diagram.

Q: (1) What is the relationship between lines 11 and 12? where L:x = 2, y = 1+2t, z = 1+t L2:x = 4 -t,…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: B. Find the distance between the point (1. 1.3) and the line =z-3) OMI NOTL

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Q: B. H. If BF || DG and BF 1 BD, then BD [?] DG. to neither, they are skew lines

A: The solution is given below in the next step:@

Q: 1. Find the angle between the lines L,:x = 3 + 8t, y = -6t,z = –7+ 24t and L2:x = 3 + 8t, y = 15t, z…

A: Solving only ques 1 according to guidelines.

Q: Graph the line that satisfies each condition. 24. contains (–3, 4) and is parallel to AB with A(2,…

A: 24. At first we will calculate the line AB↔  Then,…

Q: the tip being the point (3, 0, -5) E R' is awayfrom the line spannedby w= -2 3.2 1.2 as in this…

A: Given v=30-5, w=30-2

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: Let point A = (m,n) and point B = (x,y). If A and B lie in one horizontal line and B is to the right…

A:

Q: 2. the live in IR and haring Passing through He oryin as it's divechor vecter intersects the line…

A: The line in IR3 passing through the origin and having 1u3 as it's direction vector intersects the…

Q: Find x'z ds, where C is the line segment from (0,2,-3) to (6,0,-6) C

A: To find:∫Cx2z dsThe line segment is from 0, 2, -3 to 6, 0, -6

Q: Compute ye*ds where C is the line segment from (1,2) to (4,7). .A /34eª-V34e 16 V34 e 9 .B 16 34 е4…

A: First parameterize the curve C, then find ds, the line element and then solving the line Integral.

Q: Suppose L, is the line through the origin in the direction of u and L2 is the line through the point…

A: We are given two lines L1 and L2 in 3d, and we have to find the closest points x1 , x2 such that the…

Q: )find the dis tance between the Linel L) through A(1, 0,-1), B (-1,,0) andthe Line (L2) th rough C…

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Q: How is the line y = 1 converted by mapping w = e? ?

A: In this question, we convert the line y=1 by mapping w=e^z.

Q: Let S(x, y) = x² + y² – 2x – 16y + 10 = 0 be a circle and L(x, y) = x – 5y + 10 = 0 be a line.

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Q: Evaluate (x2 + y?) ds where C is the line segment from (0,0) to (5, 5).

A:

Q: Y Find S Zdz Such that c is the line which joining A,B,C and D as follows A (o,1) yB (2,1) , C…

A: Here, firstly we have draw the line C with the given points. Then we have to find integration value…

Q: Show that the two lines X= 2+ St J= 4 - 36 Z: 5+t X= 1+4t and y= 5-4t Z: -1+ SE skew Rind the…

A:

Q: Consider the points a, b, c, d and the lines L, M in the following figure.

A: Given a graph containing the points a, b, c, d and lines L, M

Q: 1. Given that line m is the perpendicular bisector öf 14/15 FH and EH = 100, find EF. H,

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find the equation to the line belov y = [ ] %3D Ente

A: Given that we need to find the equation of the line below . By using graph scale  (That is one box…

Q: Which of the following lines is perpendicular to the equa y=-2x + 8 Ox+2y = 8 O x- 2y = 6 O 2x-y = 1…

A: Perpendicular line

Q: Find the point of intersection of the lines r;(t) = (-1, 1) + t(8, 4) and rɔ(s) = (2, 1) + s(8, 6)…

A: Consider the given lines in polar form. To find the intersection points equate the x and y…

Q: If the point (4, 1) is the midpoint of the line PD , where P (x, 3),  D (7, y)   ,  find the value…

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Q: Evaluate (x + y) ds, where Cl is the line segment from (-2, 1, –5) to (-1, –1, –2).|

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Q: Consider the line L(t) = (1 – 5t, -1, 2t) and the point P = (-5, –4,-2). %3| How far is P from the…

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Q: 3) Determine the point(s) of intersection of the lines L₁: (3,1,5) + s(4,-1,2) and L₂: x = 4 + 13t,…

A: Given

Q: 16. If the lines y = 3x + 1 and 2y = x + 3 are equally inclined to the line y = mx + 4. Find the…

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Q: Which of the following lines bisects the line segment between (0,3) and (4,5) 5 x = -2y Dy = -2x 5 x…

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Q: is this true or false......When lines  m  and  n  intersect at point  P  , it follows that   m ∩ n…

A: This is true: in Euclidean geometry/plane. if two lines m,n intersect at a point P ,then m…

Q: suppose I tell you that the line ax+5y=7 is parallel to the line 4x-2y=11. What is a?

A: Given equation of the line 4x -2y = 11   .......(1)and another line 9x+5y = 7 .....(2)we find the…

Q: Evaluate ydx + yedy + (y + 2)dz where C is the line segment from (1, 1, 3) to (4, 4, 6).

A: We find the integration of given function.

Q: Suppose that the two lines ay= x-y and 2/ax+3y=1 are parallel. What must be the value for a?

A: First of all, consider general equation for the straight line. Also consider the given equations.

Q: 1. Find the angle between the lines L1:x = 3 + 4t, y = 2 – 3t, z = 12t and L2:x = 8t, y = 2 – 15t, z…

A: