Show that for any two nonzero vectors u and v, the vectors x = |v|u + |u|v and y = |v|u - |u|v are perpendicular.
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Originally Posted by tdat1979 Show that for any two nonzero vectors u and v, the vectors x = |v|u + |u|v and y = |v|u - |u|v are perpendicular. = = Hence, x and y are perpendicular.
Originally Posted by tdat1979 Show that for any two nonzero vectors u and v, the vectors x = |v|u + |u|v and y = |v|u - |u|v are perpendicular. I hope you're familiar with the matrix notation of vectors... Let and . Then and . Therefore . To show and are perpendicular, we need to show that their dot product is 0. So So and are perpendicular (PHEW!)
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