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Ex. Prove the following identity (a x b) × (c x d) = (a · (b x d)) c – (a · (b x c)) d. %3D Hint: Use the contraction Sip dig eiklepgl Use Levi-Civita symbol and Kronecker delta to prove the vector identity.

Ex. Prove the following identity (a x b) × (c x d) = (a · (b x d)) c – (a · (b x c)) d. %3D Hint: Use the contraction Sip dig eiklepgl Use Levi-Civita symbol and Kronecker delta to prove the vector identity.

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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Ex. Prove the following identity (a x b) x (c x d) = (a · (b x d)) c – (a · (b x c)) d. Hint: Use the contraction dig dip eiklepgl Use Levi-Civita symbol and Kronecker delta to prove the vector identity.
Transcribed Image Text:Ex. Prove the following identity (a x b) x (c x d) = (a · (b x d)) c – (a · (b x c)) d. Hint: Use the contraction dig dip eiklepgl Use Levi-Civita symbol and Kronecker delta to prove the vector identity.
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