let γ be the line segment joining 0 to 1+i. then the value of ∫γzdz is

Q: Let C be the line segment connecting 0 to ni. Then ſ, 1-e2²dz = %3D а. 0 b. -0.5 + ni c. πί d. None…

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Q: Let AB be a line segment. Prove the perpendicular bisector of AB is the set of all points which are…

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Q: 5.If A. B,and M are three collinear points,such that M clevides AB internally in the ratio 3:4 and a…

A: section formula for internal division  in vector form is OP→=nOP→+mOP→n+m According to the question,…

Q: find the coordinate of point x such that the ratio of MX to XJ is 2:3

A: Let Position vector of point M and J be m→ and j→, respectively. Point X divides segment MJ into the…

Q: 16. Let y = and u = B Compute the distance from y to the line through u and the origin.

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Q: Find all points with coordinates of the form (a, a) that are a distance 3 from P(-2, 1).

A: Given: P(-2,1) and distance is 3. To find the other coordinate point.

Q: 2. Construct a segment bisector for the given segment below. 3. Construct a line perpendicular to…

A: (2) We need to construct a segment bisector of the given figure These following Steps takes place…

Q: Given (x, 5) and (-9, y), find x and y such that the midpoint between these two points is (4, 3).

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Q: 5. Construct a copy of the line segment below. U V

A: To construct a linesegment by copying using a compass

Q: Let j = and i = Compute the distance from j to the line through u and the 9. origin.

A: Given that y→=-39 and u→=12. To find the distance from y→ to the line through u→ and the origin, we…

Q: Which point is one fourth of the way between point A and point B on the line segment AB shown on the…

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Q: Sketch and identify the path traced by the point P(x, y) if x = 1+. y =1- t> 0.

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

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Q: Evaluate a?y x²y ds where C is the line segment from (0, 1) to (2,2).

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

A: Let C be a piecewise smooth curve defined by, Let P and Q be two continuous functions of x and y…

Q: R At Q' R O.

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Q: Let y = and u = | Compute the distance from y to the line through u and the origin.

A: Compute the distance from y = [-3,9] to the line through u = (1,2) and the origin.

Q: 1. Find the point on the line 1 - a that is closest to the origin.

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Q: Consider the line segments[1,2] ={x∈R|1≤x≤2} and [0,3] ={x∈R|0≤x≤3}. Show that[1,2]and[0,3]are…

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

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Q: Let C be the line segment connecting the points P(−2,1,−4) and Q(5,−4,3). Evaluate ∫C(2x+4z)dy…

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Q: Let P, Q, and R be the points at 1 on the x-axis, 2 on the y-axis, and 3 on the z-axis,…

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Q: Let M be the midpoint of a line segment joining two points P(8, -2) and Q (6, 10). Calculate the…

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Q: Let C be the line segment connecting 0 to ni. Then f 1- 22dz = | а. 0 b. -0.5 + ni C. πί d. None of…

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Q: The points P, Q and R have coordinates (8, 7), (−2,−1) and (−6, 5) respectively. Show that the…

A: The point P is (8,7) and find the equation of the line passing through the point (8,7).The line…

Q: 3) Consider the line L in R? spanned byp = (6). Let PL(u) be the orthogonal %3D projection of the u…

A: b = 4

Q: Find the relationship between x and y such that point (x,y) is equidistant from the points (7,1) and…

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Q: If l,, l2, and l3 are nonconcurrent lines, prove that there exist three points. Exactly one each…

A: Three or more points are said Lto be collinear if they all lie on the same straight line If l1 , l2…

Q: Given: Line segment PQ has a length of 3(x+ PQ = QR, and QR = 84 %3D Prove: x = 21

A: Here we have to select the reason that best supports statement 6 in the given proof,

Q: Let C be the line segment connecting 0 to ni. Then ſ. 1- e2zdz = %3D a. 0 b. -0.5 + ni C. πί d. None…

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Q: If the point (p, q) , (m, n) and(p-m, q-n) are collinear show that pn = qm

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Q: Find the point ( x, y) such that (1, 3) is the midpoint of the line segment connecting а. (х, у) and…

A: NOTE-Since you have posted a question with multiple sub-parts, we will solve first three subparts…

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: If C is the line segment connecting the point (x1, Yı) to the point (x2, Y2), find the following. x…

A: “Since you have asked multiple questions, we will solve the first question for you i.e. (a). If you…

Q: Which point is one fourth of the way between point A and point Bon the line segment AB shown on the…

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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 relationship between x and y such that the point (x,y) is equidistance from the points…

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Q: Find the coordinates of the point K that lies along the directed line segment from J(4,1) to L(8,11)…

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: 1. Which of the following points in the standard (x, y) coordinate plane is farthest from the…

A: Find the distance of each given point from origin Using distance formula.

Q: Let C be the line segment connecting 0 to ni. Then S, 1- e2 dz = а. О b. -0.5 + ni C. πί d. None of…

A: Let C be line segment connecting 0 to πi. Evaluate the integral ∫C1-e2z dz. Formula: Let γ be a path…

Q: Determine all points P(x,y) such that PA = PB. A = (2,3) and B is on the line y=-3

A: solution:- A(2,3) B(0,-3)

Q: Find c, and cz for the inner product of R2 given by (u, v) = C;u;V2 + Czuzv2 such that the graph…

A: Given the inner product u,v=c1u1v1+c2u2v2 whose length is u=1.   From the given figure, we can write…

Q: Let C be the line segment connecting 0 to ni. Then S, 1- e22dz = а. 0 b. -0.5 + ni C. πί d. None of…

A: I have provided a solution in step2.

Q: 5. Given: Any point D on a line / Construct: The perpendicular to / at D

A: Given Any point D on a line l

Q: 1. Any point on the perpendicular bisector is from the endpoints (A and B) of the line segment.

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Q: 4) Which of the following pairs of points define a line segment parallel to the x-axis? O(4,3)(-4,3)…

A: We have to identify the line segment parallel to x axis.