t the path (6,0, 0) to (6, 0, 2), to (6,5, 2) back to (6, 0,0).
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: Find b such that (2, -1), (3, 2), and (b, 5) lie on a line.
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Q: What are the coordinates of the point on the directed line segment from (-10, 3) to (-7,–3) that…
A: Here we have to find the coordinates of the point on the directed line segment from (-10,3) to…
Q: Find a plane through the points (3,2,3), (4,-3,-3), (4,4,1)
A: The given points are: (3, 2, 3), (4, -3, -3), (4, 4, 1)
Q: The coordinates of the endpoints of directed line segment XYZ are X(-8, 7) and Z(7, –13). If XY : Y…
A: Given data is : X-8,7 and Z7,-13. X-8,7 therefore x1=-8 , y=7Z7,-13 therefore x2=7 , y=-13 If…
Q: Which point(s) lie on the line (x, y, z) = (2, –1, 5) + n(1, 2, - 1)? a) (1,- 3, 4) %3D b) (5, 5, 2)
A: The given line is (x,y,z)=(2,-1,5)+n(1,2,-1) compare with general equation of line in a space
Q: Show that the three points (4, 2), (7, 5), (9, 4) lie on a right line.
A: Given points Let A (4,2) , B (7,5) , C (9,4)
Q: What are the coordinates of the point on the directed line segment from (-10, –10) to (6, –2) that…
A:
Q: What are the coordinates of the point on the directed line segment from (-10, -1) to (-3,-8) that…
A: we have to find the coordinates of the point on the directed line segment into a ratio 6 to 1
Q: What are the coordinates of the point on the directed line segment from (-3, 8) to (6, –4) that…
A: Section formula is the concept we are using here.. x, y = mx2+nx1m+n , my2+ny1m+n Are the…
Q: Translate the image by the directed line segment from (0,0) to (4,1).
A:
Q: What are the coordinates of the point on the directed line segment from (-1, 4)(−1,4) to (8,…
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Q: 3. Find the number of paths from A to B, travelling along the lines, downward or to the right.] A B
A: Using combinatorics =(m+n-2)!/(n-1)!(m-1)!
Q: fc xyz2 ds , C is the line segment from (-1, 5, 0) to (1, 6, 4)
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Q: Find a plane containing the point (– 3, – 3, 7(t) = (– 2, – 3, – 5) + t(3, 4) and the line 6, 7).
A: we have to find the equation of plane that contains the point (-3,-3,-4) and the line…
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: Graph the OQRST with Q(-7, 4), R(-6, 8), S(0, 8), T(-1, 4), and its image after r(180°,0) ° T(2,-7).…
A: The quadrilateral □QRST with vertices Q(-7, 4), R(-6, 8), S(0, 8), and T(-1, 4)
Q: (2) Is there a line that passes through the points p3(3,0,1);P1(4,-1,-1), P2(2,1,3),
A: We have to determine whether there is a line passing through these three points.
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 (-3,-9) to (4,5) that…
A: Let the points be and .According to section formula ,.
Q: What are the coordinates of the point on the directed line segment from (-6, –6) to (-4, 10) that…
A: we have to find point
Q: What are the coordinates of the point on the directed line segment from (-1,-8) to- (5, -2) that…
A:
Q: Find a parameterization for the line segment from (2, -1) to (1,4).
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Q: Find the best-fit line associated with the set of points. (1, 5) (3, 14), (5, 24), (7, 0) O y = 2.0x…
A: Consider that x is the independent variable and y is the dependent variable. The size of the…
Q: Which of the following points is closest to (1,0, 1,0, 1, 1) using Hamming distance? O (1,1,1,1,1,0)…
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Q: What are the coordinates of the point on the directed line segment from (-7, -6)(−7,−6) to (3,…
A: A line segment having coordinates -7,-6 & 3,-10 is divided in the ratio 1:3
Q: Calculate the length of PQ where P = (-2,1,6) and Q = (-3,4, –1).
A: We will find the length of PQ→ in the following step
Q: What are the coordinates of the point on the directed line segment from (-5,8) to (-1,-8) that…
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Q: Determine whether the points are coplanar.(−3, −2, −1), (2, −1, −2), (−3, −1, −2), (3, 2, 1)
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Q: 4. a Find where F = and c is the straight-line path from (0,0,0) to (1, 0, 5). b. Would you expect…
A: 4. (a) Consider the given function. F→=siny,xz3,ex and 0,0,0 to 1,0,π2 Now, find the r(t) vector…
Q: What are the coordinates of the point on the directed line segment from (3, 3) to (10,-4) that…
A: General formula
Q: Consider the points P(-4, 1, 0, 3), Q(0, 3, 1, -4), R(-2, 1, 5, 0). RS PQ is parallel to Find the…
A: Given:- P=(-4,1,0,3) ,Q=(0,3,1,-4) and R=(-2,1,5,0) To find the point S in R4 whose third component…
Q: What are the coordinates of the point on the directed line segment from (-7, -9)(−7,−9) to (-5,…
A: We have to find the coordinates of the point on the directed line segment from (-7, -9) to (-5, 7)…
Q: What are the coordinates of the point on the directed line segment from (-8, 2) to (7,–3) that…
A: The line segment from (-8,2) to (7,-3) into a ratio of 3 to 2.
Q: What are the coordinates of the point on the directed line segment from (−4,3)(−4,3) to…
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Q: Determine whether the points are coplanar. (-4, –4, –4), (4, -1,-4),(-4,–1,–-4).
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Q: Scalar line integrals Evaluate the following line integral along the curve C.
A: Given: where, C is the line segment from (-1,0) to (0,1) followed by the line segment from (0,1)…
Q: What are the coordinates of the point on the directed line segment from (-9, –2) to (9, –6) that…
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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 (-8, 2)(−8,2) to (7,…
A: We have to find the coordinates of partition. For this we will use the section formula
Q: Find k so that the line containing the points (-3,k) and (6,12) is parallel to the line containing…
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Q: Determine whether the points are coplanar.(1, 2, 7), (−3, 6, 6), (4, 4, 2), (3, 3, 4)
A: we have to determine whether the points are coplanar. the given points are: 1,2,7,-3,6,6,4,4,2,3,3,4…
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 are the coordinates of the point on the directed line segment from (-4, – 10) to (10, –2) that…
A: To Find: Coordinates of the point on the directed line segment from -4,-10 to 10,-2 that partitions…
Q: If C is the straight line from (1,1,1) to (2,1,2) find 2xlnzdx + 2y²zdy + y³dz.
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Q: Let l: = = -: - 5 and p = (1,7, -4) + A(1, -2, 2) be two lines in space.
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Q: What are the coordinates of the point on the directed line segment from (-8, 1) to (2,-7) that…
A: When the point P lies on the line AB with coordinates of A x1,y1 and B x2,y2 and P divides the line…
Q: What are the coordinates of the point on the directed line segment from (-8, 9) to (-6, –3) that…
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Q: a) Find the distance between m = [-2,3, 2,0,3, – 13, –5] and n [4, –1,1, -5,0, 11, -3].
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- Evaluate the line integral by stokes theorem where F(vector)=[ 0, xyz ,0] , C is the boundary of a triangle with vertices (1,0,0),(0,1,0),(0,0,1).Evaluate the line intergral by stokes theorem where, F(vector arrow)=[0,xyz,0] ( i hat, j hat, k hat components) , C is the boundary of the traingle with vertices (1,0,0),(0,1,0) and (0,0,1).Use Stokes' Theorem to find the work done on a particle moves along the line segments from the origin to the points (2,0,0) (2,4,3) , (0,4,3). and back to the origin. Note that this (counterclockwise) path is a rectangle on the plane z = 3/4 y. The motion is under the influence of the force field F = z2 i+ 2xy j + 4y2 k
- A particle moves along line segments from the origin to the points (2, 0, 0), (2, 4, 1), (0, 4, 1), and back to the origin under the influence of the force field F(x, y, z) = z2i + 3xyj + 4y2k. Use Stokes' Theorem to find the work done. C F · dr =A thin plate of constant density is to occupy the triangular region in the first quadrant of the xy-plane having vertices (0, 0), (a, 0), and (a, 1/a). What value of a will minimize the plate’s polar moment of inertia about the origin?Use stokes Theorem Calculate the total effect of the wind (W(x,y,z) = <z,x^2,y> along the path P = (2cos(t),2sin(t),t) for t [0,8pi]
- Use stokes theorem to find the circulationUse Stokes's Theorem to evaluate Integral of the curve from the force vector: F · dr. or the double integral from the surface of the unit vector by the curl of the vector. In this case, C is oriented counterclockwise as viewed from above.F(x, y, z) = z2i + 2xj + y2kS: z = 1 − x2 − y2, z ≥ 0Find the work done by the force F(x , y , z)=(xyz ,−cos (yz), xz)moving a particle along a line segment from a point P (1,1,1) to a point Q (−2,1,3) correctly Hint: find the parametric equation of a line connecting P and Q, then evaluate the integral correctly.
- In vector calculus, Green's theorem relates a line integral around a simple closed curve C to a double integral over the plane region D bounded by C. It is the two-dimensional special case of Stokes' theorem. That is, Evaluate the line integral ∮?4??+???? where C is the triangle with vertices at (0, 0), (0, 5) and (5,0) with positive orientation.Use Stokes' Theorem to find each line integral. Verify your answer by a direct calculation of the line integral. Assume the orientation of C is counterclockwise.Locate the centroid of the plane area/line. Express answer in terms of a and b.