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(Solved): Let u and be orthogonal vectors in R", prove that ||- ||||||+||||. Proof: Since and are orthog ...



Let u and be orthogonal vectors in R", prove that ||- ||²||||²+||||². Proof: Since and are orthogonal then ||ū – ī||² = A E. -7 0 from which it follows that, |=||||²+||||² A. (-+) - 2(-) B.||-||+|| C. (-)-(-) D. ||ū||² + |||||||| – ||v||||ū|| + || − 3||² F. (u1, u2, u3) (v1, v2, v3) = 0 Q.E.D.

Let \( \vec{u} \) and \( \vec{v} \) be orthogonal vectors in \( \mathbb{R}^{n} \), prove that \( \|\vec{u}-\vec{v}\|^{2}=\|\v
Let and be orthogonal vectors in , prove that . Proof: Since and are orthogonal then from which it follows that, A. B. C. D. E.


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By the definition of orthogonal vectors we have two vectors and are said to be orthogonal if

Also the noram of a vector is defined by,



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