Find the volume of the parallelepiped with one vertex at the origin and adjacent vertices at (4,0,-3), (1,3,3), and (5,2,0).The volume of the parallelepiped is(Type an integer or a decimal.)

Answered: Image /qna-images/answer/3b1b27f9-591b-4eb6-9a21-d8e47e35714e.jpg

Answered: Find the volume of the parallelepiped…

Find the volume of the parallelepiped with one vertex at the origin and adjacent vertices at (4,0,- 3), (1,3,3), and (5,2,C The volume of the parallelepiped is (Type an integer or a decimal.)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.2: Perimeter And Area Of Polygons

Problem 55E: Each side of square RSTV has length 8. Point W lies on VR- and point Y lies on TS- in such a way to...

See similar textbooks

Related questions

Q: Find the area of the parallelogram with vertices P1, P2, P3, P4 P =(1,2,1), P2= (1,1,4), P3…

Q: the volume of tetrahedron having the vertices (3, -1, 1), (4, -4, 4), (1, 1, 1), (0, 0, 1) Select…

Q: Calculate the volume of the parallelepiped spanned by PQ, PR and .

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: A farmer is building a fence to enclose a rectangular area consisting of two separate regions. The…

Q: Find the area of the quadrangle with vertices (5,2), (−5,6), (−3,−5), and (4,−3).

Q: Find the volume of the largest rectangular box in the first octant with three faces in the…

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

Q: 2rydA, where D is the triangular region with vertices (0,0), (1, 2) and (0,3)

A: Dear Learner, We expert are following bartleby expert guidelines to answer the questions posted by…

Q: Find the volume of the paralellepiped with one vertex at P(1,1,1) and determined by the line…

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

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 triangle with vertices: Q(4,-5,-2) R(2,-3,-1) S(1,-6,1)

Q: Find the area of the parallelogram with vertices K(3, 2, 1), L(3, 5, 3), M(5, 10, 3), and N(5, 7,…

A: To find the area of the given parallelogram, use the vector method which is described as.We know…

Q: Find the area of the parallelogram with vertices at (-1, –3), (6, 6), (9, –1), and (16, 8).

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: What is the center and radius of the sphere that has (1, -2, 2) and (3, 4, -12) as endpoints of a…

A: Given query is to find the the center and the radius of the sphere.

Q: Find the volume of the parallelepiped with one vertex at (4, 3, 1), and adjacent vertices at (6,…

Q: 7. Find the perimeter of the figure whose vertices are the midpoints of a quadrilateral with…

A: Distance formula - √[(x2-x1)2+(y2-y1)2] Mid point formula - ( (x2-x1)/2 , (y2-y1)/2 )

Q: Find the perimeter of the triangle whose vertices are the following specified points in the plane.…

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

Q: Find the area of the parallelogram with vertices (2,2), (4, 7), (5, 12), and (7, 17)

A: Given, The vertices of parallelogram (2,2), (4, 7), (5, 12), and (7, 17). We have to find the area…

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 area of the triangle with vertices P1 (1, −2, 3), P2(−3, 1, 4),and P3 (0, 4, 3).

A: P11, -2, 3, P2-3, 1, 4 & P30, 4, 3. Now, P1P2→=-3, 1, 4-1, -2, 3=-4, 3, 1 & P1P3→=0, 4,…

Q: The center of the sphere whose one of its diameters has end points P;(1,3, –1) and P2(2,-2,1) is |…

A: Given that the endpoints of the diameter of the sphere are P11, 3, -1, P22, -2, 1 To find its…

Q: Find the area of the parallelogram with vertices P1, P2, F Р, 3 (2,2,3), Р,%3 (2,1,2), Р33(1,0, -…

A: We are asked to find the area of the parallelogram.

Q: Find the volume of the largest rectangular box in the first octant with three faces in the…

A: Given that Plane x+7y+10z=70 To find the largest volume

Q: Draw the rectangle with vertices A(1,3), B(5, 3), C(1, -3), and D(5, -3) on a coordinate plane. Find…

A: To draw the rectangle with vertices A(1,3),B(5,3),C(1,-3) and D(5,-3) on a coordinate plane. To find…

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,…

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

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 area of the parallelogram with vertices P(1, 3, 2), Q(2, 6, 4), R(4, 12, 12), and S(3, 9,…

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

Q: The volume of the parallelepiped whose adjacent edges are V = (2,3,4), ū = (1,2,–1) and w= (3,–1,2)…

Q: 5. Quadrilateral WXYZ with vertices W(0, -4), X(13, 0), Y(9, -12), and 2(5, -12); scale factor: k -…

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

Q: Find the least squares approximating parabola for the given points. (1, 4), (2, -5), (3, 6), (4, 9)…

A: Solve

Q: Let Q be the quadrilateral with vertices (-2,3), (1,4), (3,0), and (-1,–3). Find the area of Q

A: Consider a quadrilateral Q with vertices A−2,3,B1,4,C3,0 and D−1,−3

Q: Find the volume of thasparallelepiped with one vertex at the origin and adjacent vertices at (1,0, -…

Q: Find the area of the parallelogram with vertices K(2, 1, 2), L(2, 4, 4), M(4, 8, 4), and (4, 5, 2).

A: In this problem since the coordinates of vertices given in 3 dimension. We will use the vector…

Q: Find the area of the parallelogram with vertices (4,2), (8, 6), (10, 9), and (14, 13).

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

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 volume of the parallelepiped with adjacent edges PQ, PR, PS. P(2, 0, −1), Q(3, 1, 2),…

Q: Find the areas of the triangles whose vertices are given A(0, 0, 0), B(-1, 1, -1), C(3, 0, 3)

A: Given the vertices of the triangle A(0,0,0) , B(-1,1,-1) and C(3,0,3) We need to find the area of…

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∧…

Question

Find the volume of the parallelepiped with one vertex at the origin and adjacent vertices at (4,0,-3), (1,3,3), and (5,2,0).
The volume of the parallelepiped is
(Type an integer or a decimal.)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Inner Product Spaces$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

When the diagonals of rhombus MNPQ are drawn, how do the areas of the four resulting smaller triangles compare to each other and to the area of the given rhombus? Exercise 46
For the regular pentagonal prism shown below, find the total number of a edges. b faces.
A rectangle ABCD has three of its vertices at A2,-1,B6,-1, and C6,3. Find the fourth vertex and the area of the rectangle ABCD.
For compactness, the drop-down legs of an ironing board fold up under the board. A sliding mechanism at point A and the legs being connected at common midpoint M cause the boards upper surface to be parallel to the floor. How are AB and CD related?
A diagonal of a cube joins two vertices so that the remaining points of the diagonal lie in the interior of the cube. Show the diagonal of the cube having edges of length e is e3 units long.
Prove that if semicircles are constructed on each of the sides of a right triangle, then the area of the semicircle on the hypotenuse is equal to the sum of the areas of the semicircles on the two legs.
A rectangle MNPQ has three of its vertices at M0, 0,Na,0, and Q0,b. Find the fourth vertex P and the area of the rectangle MNPQ.
Each side of square RSTV has length 8. Point W lies on VR- and point Y lies on TS- in such a way to form parallelogram VWSY, which has an area of 16units2. Find the length of VW-.