(a) In Example 1 we showed that the mutually orthogonal vectors i, j, and k form a
Chapter 4, Problem 28(choose chapter or problem)
(a) In Example 1 we showed that the mutually orthogonal vectors i, j, and k form a linearly independent set of vectors in . Do you think that every set of three nonzero mutually orthogonal vectors in is linearly independent? Justify your conclusion with a geometric argument. (b) Justify your conclusion with an algebraic argument. [Hint: Use dot products.]
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