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

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

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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