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if veca=hati-hatj-3hatk, vecb=4hati-3hat...

if `veca=hati-hatj-3hatk, vecb=4hati-3hatj+hatk and vecc=2hati+hatj+2hatk, ` verify that `vecaxx(vecb+vecc)=vecaxxvecb+vecaxxvecc`

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