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If w is a vector such that w+(ŵ×ü) = v,then prove that only if u is perpendicular to v.

If w is a vector such that w+(ŵ×ü) = v,then prove that only if u is perpendicular to v.

Advanced Engineering Mathematics
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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Question

M34

Letū and ỹ be unit vectors. If w is a vector such that ŵ+(wxu) = v,then prove that (ũ ×ỹ) -ŵ ≤ – and that the equality holds if and only if u is perpendicular to v.
Transcribed Image Text:Letū and ỹ be unit vectors. If w is a vector such that ŵ+(wxu) = v,then prove that (ũ ×ỹ) -ŵ ≤ – and that the equality holds if and only if u is perpendicular to v.
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