Q: find the area of the parallelogram whose vertices are listed. (0,0), (-2, 4), (4, -5), (2, -1)
A: Consider the provided question, Let the vertices of the parallelogram are A, B, C and D.
Q: Find the volume of the parallelepiped with one vertex at the origin and adjacent vertices at (1, 3,…
A: Consider the provided question, Let the vertices of the parallelepiped are A, B, C and D.
Q: Find the volume of the parallelepiped determined by the vectors a = (5, 2, – 1), b = (0, 4, 1), č =…
A: We will find the volume of the parallelepiped by using the given vectors.
Q: 2. Find the volume of the parallelepiped having a = (1,4,–7), b = (2,–1,4) and c = (0,-9,18) as…
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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: Find the volume of the parallelepiped with corresponding vectors 〈2,1,0〉,〈-1,2,2〉and〈0,-2,1〉
A: Let's find.
Q: | The vertices of a parallelepiped are, in no particular order, (4, –10, –21), (-4, –16, –14),…
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Q: Find the volume of the parallelepiped determined by the vectors u = (1,2,-3), v = (2,4,-1), and w=…
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Q: Compute the volume of the parallelepiped de ned by the vectors v1 = (1, 3, 1), v2 = (2, 1, -1) and…
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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 volume of the parallelepiped determined by the vectors = (1, 2, 3), b = (3, 0, 6) and c =…
A: This question is related to vectors, we will solve it by using the formula of volume of…
Q: Calculate the area of the parallelogram with the given vertices: (-1,-2), (2,7), (7,2), (10,11).
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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: Find the area of parallelogram whose vertices are listed. (0,0), (5,2), (6,4), (11,6).
A: area of parallelogram = 2*area of triangle area of triangle = (1/2)[ 5 2 1]…
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 area of the parallelogram whose vertices are listed. (0, -2), (5, -2), (-3, 1), (2, 1)
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Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), В(-4, -5,…
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Q: Find the area of the parallelogram with vertices (2, 3),(5, 3), (4, 5), (7, 5).
A: Given: Vertices of parallelogram is: 2, 3, 5, 3, 4, 5, 7, 5
Q: Calculate the volume of a parallelepiped if four of its eight vertices a A (1, 2, 4), B (2, 0, 5), C…
A: In this question we will use basic of calculus i.e concept of vector calculus. We will simply use…
Q: Find the volume of the parallelepiped with one vertex at (3, 2, 4), and adjacent vertices at (3, 6,…
A: Let, P=3,2,4, Q=3,6,5, R=-3,-1,-2, S=2,8,7 Now,…
Q: Prove that the sum of the squares of the lengths of the sides of a parallelogram is equal to the sum…
A: Let the sides of the parallelogram be 'l' with longest and 'b' with shortest parallel lines and…
Q: Find the volume of the parallelepiped with one vertex at (4, 3, 1), and adjacent vertices at (6,…
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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: Find a homogeneous system whose solution space is spanned by the following sets of three vectors:…
A: This question is related to linear algebra.
Q: Calculate the volume of a parallelepiped if four of its eight vertices are A (-5, 3, 1), В (1,-2,…
A: We have to find the volume of a parallelepiped when it's four vertices are given .
Q: Prove analytically that if the diagonals of a parallelogram rectangle. are equal, then the…
A: Given:- Diagonals of parallelogram are equal.To proof Parallelogram is a Rectangle.
Q: Determine the volume of the parallelepiped formed by the vectors P = (2,4,3), Q = (1,3,2) and R=…
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Q: Find the volume of the parallelepiped defined by the vectors 5 5 5 ne =
A: To find: The volume of parallelepiped defined by three vectors 0-15, 55-3 and 5-4-2. Concept used:…
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: Find the volume of the parallelepiped divined by the vectors [5] [0] [4] [3], [4], [-1] [-1]…
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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: The vertices of a parallelepiped are, in no particular order, (4, –10, –21), (-4,–16, –14), (-11,…
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Q: Calculate the volume of a parallelepiped if four of its eight vertices are A (1, 2, 4) , B (2, 0,…
A: Given that: A(1,2,4), B(2,0,5), C(7,1,-2) and (4,3,1)
Q: Find the volume of the parallelepiped determined by the vectors (0, 4, 5), (2, 0, 5), and (-1, 3,…
A: Volume of parallepiped is (a X b).c
Q: Find the volume of the parallelepiped defined by the vectors 2 4 -4 -2 4 3.
A: We have to find volume
Q: Find the volume of the parallelepiped determined by the vectors a= (3, 2, - 1), b = (0, 4, 3), č =…
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Q: Prove that cyclic parallelogram is a rectangle.
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Q: Find the area of the quadrangle with vertices (4, 1), (-5, 4), (-3, –6), and (3, –3). 1,0 Area =
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Q: The vertices of a parallelepiped are, in no particular order, (4, –10, –21), (-4,–16,–14), (2, 4, –…
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Q: Prove that a quadrilateral with vertices J(2,-1), K(-1,-4), L(-4,-1) and M(-1, 2) is a square. 10 4…
A: As per the company guidelines we can solve first question. I hope that the given solution will help…
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: What is the area of a parallelogram if the coordinates of its vertices are (2, 1), (8, 1), (11, 5),…
A: THE EXPLANATION HAS BEEN GIVEN IN THE ATTACHED FILE.
Q: Find the area of the parallelogram defined by the vectors (9,1) , (-5,5)
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Q: Find the area of the parallelogram with vertices (9, –3, –1), (6, –8, –1), (13, –1,4), and (10, –6,…
A: Use distance formula and multiply.
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 parallelogram with vertices at (1, -1), (13, −11), (−4, −1), and (8,–11). Area…
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- Find the volume of the parallelepiped with one vertex at the origin and the adjacent vertices at(1,0,-2), (1,2,4), (7,1,0)Find the volume of a parallelepiped if four of its eight vertices are A(0, 0, 0), B(1, 2, 0), C(0, -3, 2), and D(3, -4, 5).Find the volume of a parallelepiped with one of its eight vertices at A(0,0,0) and three adjacent vertices at B(1,2,0), C(0, -4,2), and D(3, - 6,4).
- What is the area of a parallelogram if the coordinates of its vertices are (2, 1), (8, 1), (11, 5), and (5,5)?Use the cross product to find the area of the parallelogram whose vertices are(0,0,0) , (0,2,1), (2,4,3), and (2,6,4).find the area of the parallelogram whose vertices are listed. (-2,0), (0,3), (1,3), (-1,0)
- Find the lengths of the sides of the quadrilateral STUV with vertices S(-1,4), T(2,1), U(3,-5), and V(-4,1).Determine the ordinate of the third vertex (2,y) of a triangle with an area of 27 and two other vertices (-4, 6) and (2, -6)Calculate the volume of the parallelepiped with the vertex at P(−5,4,1) and adjacent vertices: SEE IMAGE