Compute ∮c (ydx+zdy+xdz) where C is the triangle with vertices (3,0,0), (0,0,2), and (0,6,0) traversed in this order.

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: Show that the points form the vertices of the indicated polygon. Right triangle:    (4, -2), (8,…

A: Distance between two points: The distance between the two points (x1, y1) and (x2, y2) is given by,…

Q: Find the shortest distance from point P = (1,2,-3) to the plane which passes through (2,3,-1) and…

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Q: Find the centroid (ã, §) of the triangle with vertices at (0, 0), (2, 0), and (0, 8). || 18

A: Recall: Centroid of a Triangle with vertices are (x1,y1) , (x2,y2) and (x3,y3) is…

Q: Sketch the triangle with vertices O, P = (0,7,2) and Q = (5,0,4) and compute its area using cross…

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Q: |Find the coordinates of the intersection of the diagonals of paralle with vertices P(2,5), R(3,3),…

A: Follow the procedure given below.

Q: Find the unit vector represented by the directed line segment with initial point A (-2,1,1) and…

A: The vectorAB = B-A=(2,-3,4) -  (-2,1,1) = (4,-4,3) So the unit vector is :…

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: What are the coordinates of the point on the directed line segment from (-10, –10) to (6, –2) that…

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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: Find the coordinates of the centroid of the triangles whose vertices are: a. (5.7), (1, -3), (-5.1);…

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Q: Find the projection of ū = (2, -3, 1) onto v = = (-3, 0, 1) %3D 3 0, А. B. (3.0. -1) В.

A: u→ =2, -3, 1v→ =-3, 0, 1v→ =(-3)2+02 +12       =9+1|v→| =10    u→  · v→ =2, -3, 1·-3, 0, 1u→  · v→ =…

Q: Find the image of the unit cube with vertices (0, 0, 0), (1, 0, 0), (1, 1, 0), (0, 1, 0), (0, 0, 1),…

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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: Determine the coordinates for the intersection of the diagonals in RSTU with vertices at…

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Q: What are the coordinates of the point on the directed line segment from (-6,-6) to (9,-1) that…

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Q: Use vectors to show that the points form the vertices of a parallelogram. (2, 9, 1), (3, 11, 4), (0,…

A: Given: A=(2,9,1) ,B=(3,11,4),C=(0,10,2),(1,12,5) To Show: Given points form the vertices of a…

Q: Suppose that a box has its faces parallel to the coordinate planes and the points (4, 2,−2) and (−6,…

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Q: Find the centroid of the triangle whose vertices are at points (3,4). (6.-9) and (6,-2). asap pls

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Q: A cube is located such that its bottom four corners have the coordinates (-4, –5, –1), (-4, –1, –1),…

A: Given a cube is located such that its bottom four corners have the coordinates (-4,-5,-1),…

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: Compute the arae of the triangle with vertices (0,0) , (1,1) (-8,-7)

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Q: Find the volume of the parallelepiped with the given vertices . (0, 0, 0), (0, 4, 0), (-3, о, 0),…

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Q: What are the coordinates of the point on the directed line segment rom (-5, 8) to (-1, –8) that…

A: The coordinates of the point which partitions a directed line segment at the ratio of a:b from x1,y1…

Q: Find all the planes parallel to the plane passing through the points(1, 2, 3), (1, 2, 7), and (1, 1,…

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Q: The vector parallel to intersection line of the two planes 4x-y+z=2 and 2x+y- 2z=3 is: *

A: Plan 1: 4x-y+z=2 Plan 2: 2x+y+2z=3

Q: Find the image of the unit cube with vertices (0, 0, 0), (1, 0, 0), (1, 1, 0), (0, 1, 0), (0, 0, 1),…

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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 (-9, –1) to (-9, –10) that…

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Q: Line AB 100 mm long is 30 degree and 45degree inclined to HP & VP respectively. End A is 10 mm above…

A: Steps to find HT: Draw xy, one projector and locate VT on it. Draw locus of a110 mm above xy. Take…

Q: Let L, be the line passing through the point P-(1, -7, 5) with direction vector d-[1,-2, 0], and let…

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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: Find the centroid of the triangle if the vertices are  (0,0) , (4,0) and (0,6)

A: Given points are         0,0,4,0,&0,6      And centriod G ?      centriod G= x1+x2+x33…

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: Use a directed line segment to represent the vector.u = (2, −4)

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Q: What are the coordinates of the point on the directed line segment from (-5,-7) to (1, –1) that…

A: we have to find the coordinate of the point on the directed line segment into a ratio of 1 to 2

Q: With the help of vector operation, find the area of the triangle that is deter- mined by the points,…

A: The points are (1,2,-1), (-1,0,2) and (4,-1,3)

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: The line passes through the point(7, 8, 9) and is parallel to the xz-plane and the yz-plane. 7,8,1 +…

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Q: Find the vector v in the plane represented by the directed line segment from (4,-3) to (-2,6)

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Q: Find the centroid (, ) of the triangle with vertices at (0, 0), (10, 0), and (0, 2). 19 120 y=

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Q: Find the points at which the line that passes through (–6,6,4) and (12,–6,2) intersects the three…

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Q: Find the volume of the parallelepiped with the given vertices . (0, 0, 0), (0, 4, 0), (-3, 0, 0),…

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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: Use a directed line segment to represent the vector.u = (−3, −4)

A: The directed  line segment is the vector drawn from the any two points in the cartesian plane. The…

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: What are the coordinates of the point on the directed line segment from (-6,-4) to (4, 6) that…

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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 (-1,-10) to (7,6) that…

A: To find the coordinates point.