   Chapter 12, Problem 10RE

Chapter
Section
Textbook Problem

# Given the points A( 1, 0, 1), B(2, 3, 0), C(−l, 1,4), and D(0, 3, 2), find the volume of the parallelepiped with adjacent edges AB, AC, and AD.

To determine

To find: The volume of the parallelepiped with adjacent edges AB, AC and AD.

Explanation

Given:

The points A(1,0,1),B(2,3,0),C(1,1,4) and D(0,3,2).

Formula:

Write the expression for cross product between a and b vectors.

a×b=|ijka1a2a3b1b2b3| (1)

Write the expression for dot product between a and b vectors.

ab=a1b1+a2b2+a3b3 (2)

Write the expression to find volume of the parallelepiped (V).

V=|a(b×c)| (3)

Find a=AB.

a=AB=B(2,3,0)A(1,0,1)=(21),(30),(01)=1,3,1

Find b=AC.

b=AC=C(1,1,4)A(1,0,1)=(11),(10),(41)=2,1,3

Modify equation (1)

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### In Exercises 2340, find the indicated limit. 33. limx22x+1x+2

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

#### For y = x3 ln x, y = a) x2(1 + 3 ln x) b) x3 + 3x2 (ln x) c) 3x d) 4x2(ln x)

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

#### Find for defined implicity by .

Study Guide for Stewart's Multivariable Calculus, 8th 