2) Evaluate yzdx+ xzdy + xydz where c is the line segment from (1,1,1) to (3,2, 0).

Q: Compute ye*ds where Cis the line segment from (1,2) to (4,7). .A 16 34 e4

A: According to the given information, it is required to calculate the value of integral.

Q: What are the coordinates of the point on the directed line segment from (-6, –3) to (-1,7) that…

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Q: Evaluate the line integral 6ydx + 4xdy where C is the straight line path from (2, 3) to (5, 5). Jc…

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Q: Determine the value(s) of k such that the lines 2y= -kx +6 and 3y-x= 2kx+3  are perpindicular.

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Q: The distance between the line x =-2+2t ,y=2t+1, z=2-t and the line x=3-2t ,y=-2t+1 ,z=t is

A: We are supposed to find the distance between the line x =-2+2t ,y=2t+1, z=2-t and the line x=3-2t…

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: 4. Prove that the midpoint of the line segment connect- ing the points (x 1, X 2, - . . , Xp) and…

A: The midpoint of a segment can be considered to be the average…

Q: Evaluate the line integral 4ydx + 2xdy where C is the straight line path from (4, 2) to (8, 4).…

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Q: What are the coordinates of the point on the directed line segment from (-4,-9) to (1,1) that…

A: This question is related to line. We will solve this question by using section formula.

Q: Prove that the line x +1 = 글(-6) - lies in the plane 3x + y – 2 = 3.

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Q: What are the coordinates of the point on the directed line segment from (3,-3) to (7,5) that…

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

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Q: What are the coordinates of the point on the directed line segment from (1, -5) to (10, 1) that…

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Q: What are the coordinates of the point on the directed line segment from (-1, –6) to (8, –3) that…

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Q: What are the coordinates of the point on the directed line segment from (–10, –3) to (-3, –3) that…

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Q: Find the point Q along the directed line segment from point R(-3,3) to point S(6,-3) that divides…

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Q: What are the coordinates of the point on the directed line segment from (4, –3) to (9, –8) that…

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Q: Let L, be the line through the origin and the point (5, 0, –1). Let L, be the line through the…

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Q: Let I be the line (1, -1,1) + t(0, 2, 1). Let Q = (1,0, 1). Find the distance from Q to l. %3D

A: Given line is                                                       l:1, -1, 1+t0, 2, 1 vector…

Q: What are the coordinates of the point on the directed line segment from (-6, 7) to (9, –5) that…

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Q: Show that the embedding of part (g) takes lines to "lines."

A: (h) We have to show that lines from ℝ2 maps to lines in P2. Lines in ℝ2 will be of the form ax+by=0.…

Q: Find the distance between u = 0 - 4 and z = 3 - 3 - 1 8

A: The distance between two vectors u=a1a2a3 and v=b1b2b3 is: d=b1-a22+b2-a22+b3-a32 The distance…

Q: Compute ye*z ye z ds where C is the line segment from (0, 6,-1) to (4, 1, 5).

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Q: 6- Find the distance from the Point AC,2,1) to the line joining the too Points B Co,5,2), C(3,2,7)

A: fghk

Q: What are the coordinates of the point on the directed line segment from (3, 3) to (7,-5) that…

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Q: 3. [For students with ID # ending in 4 or 5.] Through the point (4, 2, -5) and perpendicular to the…

A: Here, the given equation of the plane is 3x+y-6z=8 So, the coefficients of x,y and z will give us…

Q: Compute x2z ds where Cis the line segment from (0,6,-1) to (4,1,5). 7 6 .A O 56 .B O 16/77 .c O 56 3…

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Q: Find the condition for the points (a, 0), (h, k), (0, b)when ais not equals to U to be collinear

A: We have to find the condition

Q: What are the coordinates of the point on the directed line segment from (-1, 4) to (8, -8) that…

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Q: What are the coordinates of the point on the directed line segment from (1, – 5) to (10, 1) that…

A: The given coordinates of the line segment are 1, -5 and 10, 1. The required point divides the…

Q: Point A is located at (5, 4) and point B is located at (10, 12). What point partitions the directed…

A: Given: A(5,4) B(10,12) m:n =3:1

Q: Suppose there are two lines in the xy-plane in R^2.  These two lines could intersect at a single…

A: let the lines be                              y=m1x+c1y=m2x+c2 given that lines are intersecting in…

Q: What are the coordinates of the point on the directed line segment from ( 1,9) to (3,-7) that…

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Q: What are the coordinates of the point on the directed line segment from (−4,3)(−4,3) to…

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Q: Compute x2z ds where Cis the line segment from (0,6,-1) to (4,1,5). 7 6 .A O 56 77.B 16/77 .c O 56 3…

A: The line segment is from 4,1,5 to 0,6,-1 . Hence, this line is parallel to the vector, 4,1,5-0,6,-1…

Q: What are the coordinates of the point on the directed line segment from (-1, 4) to (8,-8) that…

A: Let P =(-1,4), R = (8,-8) and Q be the point that partition this line segment in the ratio 2:1. We…

Q: -6x - Find dA, where Ris the parallelogram enclosed by the lines -3x+y R – 6x – y = 0, – 6x – y = 2,…

A: I have used jacobian to solve the area of above double integral.thanks

Q: What are the coordinates of the point on the directed line segment from (−10,−3)to (−10,−3)that…

A: It is known that the point C that divides a line segment in the ration m:n will be of the form…

Q: 1. Find the distance from the point to the given line by using the distance theorem…

A: Suppose the line l is Ax+By+C=0 and any point is P0x0, y0. Then the distance from the point P0 to…

Q: Show that there are point(s) (x, y, z) satisfying 2x − 3y + z − 5 = 0and lying on the line v = (5,…

A: The given equation of the line is

Q: Prove analytically that in any triangle the perpendiculars drawn from the vertices upon the opposite…

A: Given-  the perpendiculars drawn from the vertices upon the opposite sides. To prove-the altitudes…

Q: B. Show that line -- is parallel to plane x-2y+z = 6

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Q: What are the coordinates of the point on the directed line segment from (3, -1)(3,−1) to (9, 8)(9,8)…

A: We have to find the coordinates of the point R which divides PQ in the ratio 1 : 2, where P=(3, -1)…

Q: What are the coordinates of the point on the directed line segment from (- to (10,-2) that…

A: the given points are: (-4,-10), (10,-2)If (x,y) be the coordinate of the point than partition the…

Q: Show that the locus of the point whose distance from Y-axis is thrice it's distance from (1,2,-1) is…

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Q: What are the coordinates of the point on the directed line segment from (–10, –1) to (10,-6) that…

A: If a point on the directed line segment from (x1, y1) to (x2, y2) partitions the segment into a…

Q: If C is the straight line from (1,1,1) to (2,1,2) find 2xlnzdx + 2y²zdy + y³dz.

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Q: Show the lines (x, y, z) = (5 + 2t, 3 + 2t, 1 – t) and (x, y, z) = (13 – 3r, 13 + 2r, 4 + 4r) are…

A: Given:- Show the lines (x, y, z) = (5 + 2t, 3+2t, 1- t) and (x, y, z)= (13-3r, 13 + 2r, 4 + 4r) are…