Find the of the triangle area with verfices Pl2,2,0), Q(13,-1) and R(-4,2,1)

Q: Find the area of the triangle with the given vertices.(1, 1), (−1, 1), (0, −2)

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Q: cube of edge 4 is in cut by a plane containing two teo diagonally opposite edges of the cube. Find…

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Q: Compute the area of a triangle with vertices A(7,3,4), B(1,0,6) and C(4,5,-2).

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Q: 1Triangte with points (2.0-0-and R(or2-)find 2-Area of the ttiongle?

A: Given:  Triangle with points P1, -1, 2, Q2, 0, -1 and R0, 2, 1 is given. To Find:  1 Area of the…

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: | The vertices of a parallelepiped are, in no particular order, (4, –10, –21), (-4, –16, –14),…

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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 dimensions of the isosceles triangle of largest area that can be inscribed in a circle of…

A: Solution:- calculate the value of base by using pythagores therorm.

Q: Find the area of the triangle with vertices P=(1,1,0), Q=(0,2,1) and R=(2,0,0).

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Q: 2. Find the area of the triangle with vertices (0,0), (3,1) and (1,2)

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Q: 2) Find the area of triangular ABC of points (4,6,12), (2,7,6) and (-2,5,6).

A: From the given data:

Q: Find the volume of the parallelepiped determined by the vertices A(1,1,1), B(4,7,2), C(3,2,1) and…

A: Let the vertex A(1,1,1) be taken as the point from which all measurements are taken. Calculate AB→,…

Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS: P(-2,1,0), Q(2,3,2),…

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Q: Sketch the triangle with vertices O, P = (7,0, 3) and Q = (0, 5, 4) and compute its area using cross…

A: To sketch the triangle with vertices O, P=7, 0, 3, Q=0, 5, 4 and compute its area using cross…

Q: A real estate company wants to build a parking lot along the side of one of its buildings using 500…

A: In the given question we have to find sides parallel and perpendicular to the building.

Q: . Prove that in a triangle, the orthocenter, centroid and the circumcenter are concurrent (in a…

A: Let X be the mid-point of EF Construct the median DX. Since G is the centroid, G is on DX by the…

Q: Eight identical balls were placed inside a cubical box of side 84 such that every ball is in contact…

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Q: Sketch the triangle with vertices O, P = (7, 0, 7) and Q = (3,0, 3) and compute its area using…

A: To find the area of the triangle using cross product method when it's vertices are given .

Q: Prove that the points 3,0),(4, 5),(-1, 4) and (-2,-1) taken in order, Lorm a rhombus, also find its…

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Q: A triangle has vertices  (0, 0, 0), (1, 1, 1),  and  (0, −4, 5).  Find its area.

A: Consider the triangle with vertices (0, 0, 0), (1, 1, 1) and (0, -4, 5)Let  A(0, 0, 0), B(1, 1, 1)…

Q: Prove that the point (3,0) ,(4,5),(-1,4) and (-2,-1) taken in order,form a hombus ,also find its…

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Q: 4. Find the area of the parallelogram with the points A(2,5, 6), B(4,8, 10), C(11, 7, 9) and D(9,4,…

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Q: Use cross products to find the area of the triangle in the xy-planedefined by (1, 2), (3, 4), and…

A: Triangle T spanned by two non zero vectors u,v.  Then the area of the triangle is given     by :…

Q: | 2. Find the radius of this circle. -2 -9 8 -7 -6 -5 -4 -3 -2 -1 0 -1- -2 -3 -4 -5 -6 O 8V5

A: Here, from the given graph: The center of the circle is at (-4,-2)

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: |The vertices of a parallelepiped are, in no particular order, (4, – 10, –21), (-4, –16, –14), (2,4,…

A: We have to find the volume of the parallelepiped with vertices 1.…

Q: The area of the triangle formed by the vertices (2, −1, −1); (1, 1, −2) and (−3, 2, −2) is:

A: NOTE: Refresh your page if you can't see any equations. . . .

Q: Find the volume of the parallelepiped with adjacent edges PQ, where P (1,1, 1), Q (2,0,3,), R =…

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Q: Find the volume of the parallelepiped with one vertex at (0, 0, 0) and adjacent vertices at (-3, 1,…

A: The vertices are given as , O=0,0,0 A=-3,1,4 B=-5,-5,-3C=-5,0,0  Find the volume of Parallelepiped.…

Q: 2. Find the area of the parallelogram that has two adjacent sides u and u. ū = (8, 2, -3) = (2,…

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Q: The vertices of a parallelepiped are, in no particular order, (4, –10, –21), (-4,–16, –14), (-11,…

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Q: Find the area of the triangle having the given vertices (0, 0), (6, 0), (0, 7)

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Q: Find the area of the triangle having vertices at P (1,3,2), Q (-2,1,3) and R (3,-2,-1)

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Q: quadrilateral

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Q: Find the area of the parallelogram with adjacent sides u = (4, 3, 0) and v = (0, 3, 1).

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Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS. P(-2, 1, 0), Q(3, 4, 3),…

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Q: Find the volume of the parallelopiped with adjecent edges PQ, PR, PS where P(5,-2,-3), Q(7,1,0),…

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Q: Find the area of the triangle with vertices (2, 1, 5), (–1, 3, 4), and (3, 0, 6).

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Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS, where P(3, 0, 1), Q(2, 3,…

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Q: Find the volume of the parallelopiped with adjacent edges PQ, PR, PS where P(-2, -1, -3), Q(0, 2,…

A: The given points P-2,-1,-3, Q0,2,0, R-3,-2,-4, S4,-3,-1

Q: Show that the quadrilateral having vertices at (1, −2, 3), (4, 3, −1), (2, 2, 1) and (5, 7, −3) is a…

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Q: Find the area of a parallelogram with corner points at (2,4), (5,9), (9,9), and (6,4) Area

A: Area of a parallelogram of base b units and height h units is given by the equation; Area (A)=a·h

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: Show that the quadrilateral having vertices at (1, 1,3), (-2,1,-1), (-5,4, 0), and (-8, 4,-4) is a…

A: This is a problem related to area of the parallelogram by cross products. Based on the general…

Q: Find the area of a parallelogram with corner points at (1,2), (4,6), (7,6), and (4,2) Area =

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Q: The vertices of a parallelepiped are, in no particular order, (4, –10, –21), (-11, –9, –17), (9,–3,…

A: Given a parallelepiped with its 8 vertices in no particular order. We need to find the volume of the…

Q: Find the  area of the triangle with vertices P(1,3,5) Q(-1,4,-4) and  R(1,5,4)

A: P1,3,5 Q=-1,4,-4  R1,5,4PQ=OQ-OP     =-i∧+4j∧-4k∧-i∧-3j∧-5k∧PQ=-2i∧+j∧-9k∧PR=OR-OP     =i∧…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.