(Linear Algebra)7.5.5Pls help thanks Verify that the points are the vertices of a parallelogram, and then find its area.(1, 1, 1), (5, 3, 2), (4, 2, 6), (8, 4, 7)STEP 1: Compute the following two vectors.(5, 3, 2) – (1, 1, 1) =|(8, 4, 7) – (4, 2, 6) =Are these two vectors equal?O YesNoSTEP 2: Compute the following two vectors.(4, 2, 6) – (1, 1, 1) =|(8, 4, 7) – (5, 3, 2) =Are these two vectors equal?O YesNoSTEP 3: Compute the cross product of the two vectors from above.STEP 4: Compute the norm of the cross product to compute the area of the parallelogram.

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Answered: Verify that the points are the vertices…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.2: Length And Angle: The Dot Product

Problem 34EQ

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(Linear Algebra)

5.5

Pls help thanks

Verify that the points are the vertices of a parallelogram, and then find its area.
(1, 1, 1), (5, 3, 2), (4, 2, 6), (8, 4, 7)
STEP 1: Compute the following two vectors.
(5, 3, 2) – (1, 1, 1) =|
(8, 4, 7) – (4, 2, 6) =
Are these two vectors equal?
O Yes
No
STEP 2: Compute the following two vectors.
(4, 2, 6) – (1, 1, 1) =|
(8, 4, 7) – (5, 3, 2) =
Are these two vectors equal?
O Yes
No
STEP 3: Compute the cross product of the two vectors from above.
STEP 4: Compute the norm of the cross product to compute the area of the parallelogram.

Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.

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