Determine whether the statement below is true or false. Justify the answer. The vectors are in Rn. If the distance from u to v equals the distance from u to - v, then u and v are orthogonal. By the definition of orthogonality, u and v are orthogonal if and only if u •v= squared distance from uto - vRequiring the squared distances to be equal This happens if and only if the same as requiring the distances to be equal, so the given statement is which happens if and only if the squared distance from uto vequals the ▼
Determine whether the statement below is true or false. Justify the answer. The vectors are in Rn. If the distance from u to v equals the distance from u to - v, then u and v are orthogonal. By the definition of orthogonality, u and v are orthogonal if and only if u •v= squared distance from uto - vRequiring the squared distances to be equal This happens if and only if the same as requiring the distances to be equal, so the given statement is which happens if and only if the squared distance from uto vequals the ▼
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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