Suppose we have three distinct unit vectors a, b, andc which satisfy the following equations: (i) Ьxс+0 (ii) ах (bx c) — 0 %3D Which of the following must be true, which might be true, and which cannot be true? Justify your answers. (а) blc (b) а lс (с) а 1b

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 33EQ
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Suppose we have three distinct unit vectors a, b, and c which satisfy the
following equations:
(i) b x c+0
(ii) ах (b x с) — 0
Which of the following must be true, which might be true, and which cannot be true?
Justify your answers.
(а) blc
(b) а lс
(с) а 1b
Transcribed Image Text:Suppose we have three distinct unit vectors a, b, and c which satisfy the following equations: (i) b x c+0 (ii) ах (b x с) — 0 Which of the following must be true, which might be true, and which cannot be true? Justify your answers. (а) blc (b) а lс (с) а 1b
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