Why are orthogonal vectors linearly independent




















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I am completely stuck on where to go with this problem. Would this prove it? Dot through by a1. The same holds for the other two constants. I'm assuming that when you say orthogonal, you are not allowing any vectors to have zero magnitude. Just try a few calculations and you will know it's true!

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Asked 7 years, 7 months ago. Active 5 months ago. Viewed 11k times. Mark 1 1 silver badge 6 6 bronze badges. I mean, you can't show that any three randomly chosen vectors are linearly independent, because that isn't true.



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