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Home Q & A Board Science-Related Homework Help Mathematics Calculus
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Bpr621 Bpr621
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A month ago
Show that A = au + bv is orthogonal to B = bu - av, where u and v are orthogonal unit vectors.
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Calculus: Early Transcendentals

Calculus: Early Transcendentals


Edition: 3rd
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PurpleBPurpleB
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A∙B = (au + bv)∙(bu - av) = abu∙u - a2u∙v + b2u∙v - abv∙v  = ab - ab = 0
Since the dot product is zero and since neither A nor B is identically zero, A and B are orthogonal.
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Bpr621
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Smart ... Thanks!
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Helped a lot
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I appreciate what you did here, answered it right Smiling Face with Open Mouth
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