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Are any of the following expressions are valid? First check the ranks and validity of the operations in the various expressions. If you see no problems, then use index notation to see whether the expression is correct. If an expression is invalid, you do not need to make it correct. a) V-(Vxy)= Vx(V•v) +V²v b) (vxw)·(y×w)= v²w²-(v•w)² c) V×X = 0 where X is the position vector

Are any of the following expressions are valid? First check the ranks and validity of the operations in the various expressions. If you see no problems, then use index notation to see whether the expression is correct. If an expression is invalid, you do not need to make it correct. a) V-(Vxy)= Vx(V•v) +V²v b) (vxw)·(y×w)= v²w²-(v•w)² c) V×X = 0 where X is the position vector

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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Are any of the following expressions are valid? First check the ranks and validity of the operations in the various expressions. If you see no problems, then use index notation to see whether the expression is correct. If an expression is invalid, you do not need to make it correct. a) V-(Vxv)= Vx(V• v) +V²y b) (v×w)(v×w)=v²w²-(v•w)² c) VxX = 0 where X is the position vector
Transcribed Image Text:Are any of the following expressions are valid? First check the ranks and validity of the operations in the various expressions. If you see no problems, then use index notation to see whether the expression is correct. If an expression is invalid, you do not need to make it correct. a) V-(Vxv)= Vx(V• v) +V²y b) (v×w)(v×w)=v²w²-(v•w)² c) VxX = 0 where X is the position vector
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