Please explain how to do this question. Also explain how you know the vectors made are not parallel with the given vectors. 5. The vectors i = [1,0,0], j = [0,1,0] and k = [0,0,1], are all perpendicular to each other. Determine 3vectors a, b, and c, none of which are parallel to ī, jork such that a, b, and c, are all perpendicularto each other. Justify your answer.

Answered: Image /qna-images/answer/e1f6df51-15ea-4d7a-8496-6cdc2a09e047.jpg

5. The vectors i = [1,0,0], j = [0,1,0] and = [0,0,1], are all perpendicular to each other. Determine 3 vectors a, b, and c, none of which are parallel to i,jork such that a, b, and c, are all perpendicular to each other. Justify your answer.

5. The vectors i = [1,0,0], j = [0,1,0] and = [0,0,1], are all perpendicular to each other. Determine 3 vectors a, b, and c, none of which are parallel to i,jork such that a, b, and c, are all perpendicular to each other. Justify your answer.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.1: Rectangular Coordinate Systems

Problem 21E

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Question

Please explain how to do this question. Also explain how you know the vectors made are not parallel with the given vectors.

5. The vectors i = [1,0,0], j = [0,1,0] and k = [0,0,1], are all perpendicular to each other. Determine 3
vectors a, b, and c, none of which are parallel to ī, jork such that a, b, and c, are all perpendicular
to each other. Justify your answer.

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

Expert Solution