Solution Found!
Find the signed volume of the parallelepiped formed by the following triples of vectors
Chapter 5, Problem 2(choose chapter or problem)
QUESTION:
Find the signed volume of the parallelepiped formed by the following triples of vectors in \(\mathbb{R}^{3}\).
a. x = (1, 2, 1), y = (2, 3, 1), z = (1, 0, 3)
b. x = (1, 1, 1), y = (2, 3, 4), z = (1, 1, 5)
c. x = (3,1, 2), y = (1, 0,3), z = (2, 1,1)
Questions & Answers
QUESTION:
Find the signed volume of the parallelepiped formed by the following triples of vectors in \(\mathbb{R}^{3}\).
a. x = (1, 2, 1), y = (2, 3, 1), z = (1, 0, 3)
b. x = (1, 1, 1), y = (2, 3, 4), z = (1, 1, 5)
c. x = (3,1, 2), y = (1, 0,3), z = (2, 1,1)
ANSWER:Step 1 of 3
Volume of parallelogram formed by vectors given by:
For given vectors:
(a)
So, the required volume is .