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4. (a) Prove, without recourse to geometry, that u • (v × w) = v • (w × u) = w • (u × v) = −u • (w × v) = −w. (v xu) = -v (u x w).

4. (a) Prove, without recourse to geometry, that u • (v × w) = v • (w × u) = w • (u × v) = −u • (w × v) = −w. (v xu) = -v (u x w).

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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4. (a) Prove, without recourse to geometry, that u. (V x W) = v. (w xu) = w. (u xv) = -u. (w xv) = −w. (vx u) = -v (u x W). ●
Transcribed Image Text:4. (a) Prove, without recourse to geometry, that u. (V x W) = v. (w xu) = w. (u xv) = -u. (w xv) = −w. (vx u) = -v (u x W). ●
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