Consider the vectors ū =(1, 0, 2) and ū = (0, 1, –2) in R³.(i) Which of the quantities below is equal to the area of the 2-dimensional parallelogram determined by these vectors in 3-dimensional space?06Ovo03OV3(ii) Which of the equations below represents the plane through theorigin determined by these vectors?– 2x1 + 2x2 + x3 = 9.– 2x1 + 2x2 + x3 = 0.%3|Ox1 – 2x2 – x3 = 0.O 2x1 – x2 – x3 = 0.

Answered: (i) Which of the quantities below is…

(i) Which of the quantities below is equal to the area of the 2 dimensional parallelogram determined by these vectors in 3- dimensional space? 06 OV6 03 OV3

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.1: Length And Dot Product In R^n

Problem 17E: Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of...

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Question

Consider the vectors ū =
(1, 0, 2) and ū = (0, 1, –2) in R³.
(i) Which of the quantities below is equal to the area of the 2-
dimensional parallelogram determined by these vectors in 3-
dimensional space?
06
Ovo
03
OV3
(ii) Which of the equations below represents the plane through the
origin determined by these vectors?
– 2x1 + 2x2 + x3 = 9.
– 2x1 + 2x2 + x3 = 0.
%3|
Ox1 – 2x2 – x3 = 0.
O 2x1 – x2 – x3 = 0.

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