find the volume of the parallelepiped whose vertices are A(3,2,-1),B(-2,2,-3),C(3,5,-2),D(-2,5,4)

Question

find the volume of the parallelepiped whose vertices are A(3,2,-1),B(-2,2,-3),C(3,5,-2),D(-2,5,4)
🧐 Not the exact question you are looking for?Go ask a question

Solution 1

The volume of a parallelepiped is given by the scalar triple product of the vectors formed by its edges.

First, we need to find the vectors AB, AC, and AD.

Vector AB = B - A = (-2-3, 2-2, -3-(-1)) = (-5, 0, -2) Vector AC = C - A = (3-3, 5-2, -2-(-1)) = (0, 3, -1) Vector AD = D - A = (-2-3, 5-2, Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

This problem has been solved

Similar Questions

find the volume of the parallelepiped whose vertices are A(3,2,-1),B(-2,2,-3),C(3,5,-2),D(-2,5,4)

A position isomer of 2-pentanone is :A 3-Pentanone B 3-Methyl-2-butanone C 1-Pentanal D 2,2-Dimethylpropanal

Find the volume of the parallelepiped & tetrahedron with one vertex at the origin and adjacent vertices are at (1, 0, -3), (1, 2,4) & (5, 1, 0).

. Find k if the area of the triangle with vertices at A(k, 2), B(-2, 1), C(1,-3) is sq. units

Find the area of the parallelogram with vertices A=(−1,3,4),B=(0,5,9),C=(1,2,6),and D=(2,4,11).

1/3